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Subject: Mathematics    / Statistics

Question
Assuming a normal distribution. Dinner for two at The Diner cost on average \$45 with a standard deviation of \$5.

What is the probability a random couple spends MORE than \$33 on dinner at The Diner?

B. 57.67%
A. 25.14
D. 15.4%
C. 99.18%

Flag this Question Question 24 pts There is a 40% probability that a student PASSES their first statistics exam. Using a Binomial Distribution, if we randomly select 7 students: What is the probability that more than 5 PASS their first statistics exam?
26.13%
29.03%
1.88%
15.86%

Flag this Question Question 34 pts Assuming a normal distribution, families spends an average of \$500 on their monthly cell phone bills with a standard deviation of \$75.

What is the probability a random families' bill is between \$350 and \$400?
A. 32.85%
C. 15.87%
D. 81.85%
B. 6.9%

Flag this Question Question 44 pts You are starting your new job and have to wear a dress shirt, suit and tie every day. In your closet you have 4 blue shirts, 3 plaid shirts, and 2 striped shirts. You have 1 blue suit, 2 black suits, and 1 brown suit, You also have 2 blue ties, 3 red ties, and 3 pink ties. What is the probability that you pick a striped shirt AND a blue suit AND a pink tie?
84.72%
55.25%
20.8%
2.08%

Flag this Question Question 54 pts Assuming a normal distribution, families spends an average of \$500 on their monthly cell phone bills with a standard deviation of \$75. What is the probability a random families' bill is between \$350 and \$400?

17.72%
6.9%
26.9%
40.82%

Flag this Question Question 64 pts We studied the number of patients a pediatrician sees in one hour. We found there is an average of five patients. Using a Poisson Distribution, Find the probability that there will be THREE or More patients an hour?
87.53%
12.47%
91.58%
8.42%

Flag this Question Question 74 pts There is a 40% probability that a student PASSES their first statistics exam. Using a Binomial Distribution, if we randomly select 7 students: What is the probability that 3 of them PASS their first statistics exam?
29.03%
71.02%
44.08%
15.86%

Flag this Question Question 84 pts You are playing the new Simpsons board game and it comes with a six sided dice with one of the following colors on each side, red, blue, green, purple, indigo and orange. If you roll orange you win a donut, if you roll green you get eaten by Maggie. What is the probability that you will get eaten by Maggie?
25%
33.33%
50%
16.67%

Flag this Question Question 94 pts Assuming a normal distribution, families spends an average of \$500 on their monthly cell phone bills with a standard deviation of \$75. What is the probability a random families’ bill is between \$333 and \$550?
48.71%
23.85%
73.57%
24.86%

Flag this Question Question 104 pts Assuming a normal distribution, families spends an average of \$500 on their monthly cell phone bills with a standard deviation of \$75.

What is the probability a random families' bill is MORE than \$550?
C. 25.14%
D. 81.85%
B. 6.9%
A. 32.85%

Flag this Question Question 114 pts The food court in the mall offers many different entrees based on the day of the week to choose from for their combo meals. If the combo meal includes the choice of three different entrees how many different options do you have on… Friday which has 13 different entrees to choose from?
286
990
1716
165

Flag this Question Question 124 pts Assuming a normal distribution. Dinner for two at The Diner cost on average \$45 with a standard deviation of \$5. What is the probability a random couple spends between \$44 and \$59 on dinner at The Diner?
16.88%
57.67%
49.74%
7.93%

Flag this Question Question 134 pts There are 23 girls are on the varsity soccer team. How many different ways can you select the:

a) 3 midfielders (Left Mid, Center Mid, Right Mid)?

b) 4 defenders (Right Back, Sweeper, Left Back, Stopper) AFTER they select the 3 midfielders?

c) 3 offensive players (Right Wing, Left Wing, Striker) AFTER they select the 3 midfielders and 4 defenders.
D.
a)1,771
b) 14,845
c) 3,360
C.
a)10,626
b) 116,280
c) 3,360
A.
a)1,771
b) 4,845
c) 560
B.
a)10,626
b) 8,855
c) 3,360

Flag this Question Question 144 pts You are starting your new job and have to wear a dress shirt, suit and tie every day. In your closet you have 4 blue shirts, 3 plaid shirts, and 2 striped shirts. You have 1 blue suit, 2 black suits, and 1 brown suit, You also have 2 blue ties, 3 red ties, and 3 pink ties. What is the probability that you pick a red tie OR a black suit?
42.25%
18.75%
87.50%
33.33%

Flag this Question Question 154 pts Your sock drawer has 3 pairs of black socks, 4 pairs of brown socks, 1 pair of yellow socks and 5 pairs of blue socks. You reach into the drawer in the dark and randomly pick out 2 pairs for your business trip. What is the probability your pick out in this order. 2 black pairs?
C. 4.65%
A. 9.85%
D. 3.85%
B. 8.65%

Flag this Question Question 164 pts Assuming a normal distribution, families spends an average of \$500 on their monthly cell phone bills with a standard deviation of \$75.

What is the probability a random families' bill is between \$333 and \$550?
C. 15.87%
B. 6.9%
A. 32.85%
D. 73.57%

Flag this Question Question 174 pts The probability that a professor in the business department is full time is 30%. If we randomly select 9 professors; What is the probability that 3 or fewer of them are FULL TIME?
B. 15.6%
C. 73%
D. 17.2%
A. 26.7%

Flag this Question Question 184 pts The probability of a student buying coffee before class is 30%.

The probability of a student buying a muffin before class is 40%.

The probability of a student buying tea before class is 20%.

The probability a student buys coffee AND a muffin before class is 15%.

The probability a student buys tea AND a muffin before class is 10%.

What is the probability that a student buys coffee OR a muffin before class?
C. 60%
D. 55%
A. 70%
B. 50%

Flag this Question Question 194 pts The number of injuries in football each week is known to follow a Poisson distribution with a mean of 0.6. More than 3 accidents?
D. 0.18%
C. 32.93%
A. 0.33%
B. 87.81%

Flag this Question Question 204 pts You are starting your new job and have to wear a dress shirt, suit and tie every day. In your closet you have 4 blue shirts, 3 plaid shirts, and 2 striped shirts. You have 1 blue suit, 2 black suits, and 1 brown suit, You also have 2 blue ties, 3 red ties, and 3 pink ties. How many different combinations of shirts, suits and ties do you have in your closet?
55
72
175
288

Flag this Question Question 214 pts You are playing the new Simpsons board game and it comes with a six sided dice with one of the following colors on each side, red, blue, green, purple, indigo and orange. If you roll orange you win a donut, if you roll green you get eaten by Maggie. What is the probability that you will roll anything but orange?
16.67%
25%
83.33%
33.33%

Flag this Question Question 224 pts The number of injuries in football each week is known to follow a Poisson distribution with a mean of 0.6. Find the probability that this week there will be less than 2 accidents?
B. 87.81%
C. 32.93%
D. 0.18%
A. 0.33%

Flag this Question Question 234 pts You are playing the new Simpsons board game and it comes with a four sided dice with one of the following colors on each side, red, blue, green and orange.

a) What is the probability that you will win a donut?If you roll orange you win a donut, if you roll green you get eaten by Maggie.

b) What is the probability that you will get eaten by Maggie?

c) What is the probability that you roll a red or blue?

d) What is the probability that you will roll anything but orange?
D.
a) .25
b) .25
c) .0625
d) .50
B.
a) .50
b) .25
c) .50
d) .0625
A.
a) .25
b) .25
c) .50
d) .75
C.
a) .75
b) .25
c) .0625
d) .75

Flag this Question Question 244 pts You just bought a new briefcase and need to pick a four digit combination out of 10 possible numbers for the lock. If order does matter how many possible lock combinations can you choose from?
D. 995
A. 5,040
C. 210
B. 110,250

Flag this Question Question 254 pts There is a 40% probability that a student PASSES their first statistics exam. Using a Binomial Distribution, if we randomly select 7 students; What is the probability that 3 FAIL their first statistics exam?

15.86%
71.02%
29.03%
19.4%