Question

An insurance company has collected the following data on the gender and marital status of 300

customers.

   

Gender Male Female

Marital Status

Single Married
25 125 30 50 50 20

Divorced

           

Suppose that a customer is selected at random. Find the probability that the customer selected is:

b)

1. not single.

2. married, if the customer is male.

iii. female or divorced.
iv. Is marital status independent of gender? Explain using probabilities.

Consider a binomial random variable X with n = 20 and p = 0.3.

i. FindP(X<5).
ii. Find the mean and the variance of X.
iii. Find approximately P (X < 5), using different method you used in part “i” above.

Answer 1