MAT 2323-If np ? 5 and nq, estimate P(fewer than 5)

Subject: Mathematics    / Statistics
Question

1) If np ? 5 and nq, estimate P(fewer than 5) with n= 13 and p = 0.5 by using the normal distribution as an approximation to the binomial distribution; if np????<5 or nq<5, then state the normal approximation is not suitable

P( fewer than 5)=

2) If np ? 5 and nq, estimate P(fewer than 8) with n= 14 and p = 0.6 by using the normal distribution as an approximation to the binomial distribution; if np????<5 or nq<5, then state the normal approximation is not suitable.

P(fewer than 8)=

3) If np ? 5 and nq, estimate P(more than 4) with n= 11 and p = 0.3 by using the normal distribution as an approximation to the binomial distribution; if np????<5 or nq<5, then state the normal approximation is not suitable

P(more than 4)=

4) If np ? 5 and nq, estimate P(at least 7) with n= 13 and p = 0.6 by using the normal distribution as an approximation to the binomial distribution; if np????<5 or nq<5, then state the normal approximation is not suitable

P(at least 7)=

5) Use a normal approximation to find the probability of the indicated number of voters. In this case, assume that 108 eligible voters aged 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted. Probability that fewer than 30 voted.

The probability that fewer than 30 of 108 eligible voters voted is nothing

6) Use a normal approximation to find the probability of the indicated number of voters. In this case, assume that 137 eligible voters aged 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted. Probability that exactly 32 .

The probability that exactly 32 of 137 eligible voters voted is

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