Question

MAT200 Probability & Statistics: 65.65 SP2020 Quiz: quiz 5 Submit This Question: 1 pt 9 of 10 (7 complete) This Quiz: 10 pts pos The sample size n, probability of success p, and probability of failure q are given for a binomial experiment. Decide whether you can use the normal distribution to approximate the random variable x n= 15 p=0.61 q=0.39 Can the normal distribution be used to approximate the random variable x? A No, because ng <5 OB Yes, because np 25 and ng 25 O C. No, because np <5 and ng<5 OD. No, because np <5 Click to select your answer Type here to search ESC F1 F2 F3 F4 F5 FG

Answer 1

Answer:

Given,

n = 15, p = 0.61 and q = 0.39

For approximating to the binomial distribution the normal distribution has to satisfy the conditions: np >= 5 and nq >= 5

Here, np = 15 * 0.61 = 9.15 > 5

nq = 15 * 0.39 = 5.85 > 5.

So, the correct option is

B. Yes, because np >= 5 and nq >= 5