Question

a. Find the probability of at least 1 girl in 7 births. Assume that male and female births are equally likely and that the births are independent events. (Binomial). Round your answer to three (3) decimal places.

b. Assume that X has a normal distribution with mean μ= 15.2 and standard deviation σ = 0.9.   Find the probability that X is greater than 16.1.        Calculate your answer to four (4) decimal places

c. X is a standard normal random variable with the mean μ equal to 30 and the standard deviation μ equal to 3. Find x if z is equal to 1.62 (Round your answer to two decimal places)

Answer 1

The detailed solution is given in the pictures below.

Please go through them carefully specially the notations.

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