1. After surgery to replace an arthritic hip joint, the short-term recovery times until the patient is able to walk without assistance or pain are normally distributed, with a mean of 34 days and a standard deviation of 5.6 days. If a patient receiving a new hip joint is randomly selected, determine the probability that (s)he will have a short-term recovery time of less than 21 days i.e. P(X<21) (use formula:)

a. 0.1456

b. 0.0102

c. 0.0067

d. 0.1942

2. In the following example, calculated the Expected value

P( 0 < X < 0.86 ), given that X is selected randomly from the interval is 0 to 5

(Use formula: Expected value = )

a. 0.12

b. 2.5

c. 1.3

d. 0.27

3. If Z is a continuous random variable with a standard normal distribution, determine the following probability using standard normal distribution table:

P ( Z < 1.6 )

a. 0.2981

b. 0.3261

c. 0.9452

d. 0.4960

4. If Z is a continuous random variable with a standard normal distribution, determine the following probability using standard normal distribution table:

P ( Z<0.26 )

a. 0.5613

b. 0.3974

c. 0.9140 d. 0.1672