1. If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute, find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes.

a. 0.3551
b. 0.3085
c. 0.2674
d. 0.1915

2. The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.5 pound. Assuming the weights of catfish are normally distributed, the probability that a randomly selected catfish will weigh between 3.4 and 3.7 pounds?

a. 0.5478
b. 0.2935
c. 0.8413
d. 0.1859

3. If n = 10 and p = 0.70, then the mean of the binomial distribution is:

a. 0.07
b. 1.45
c. 7.00
d. 14.29

Solution Preview

(1) z = (x - mu)/sigma

z = (3 - 3.5)/1 = -0.5

P(x < 3) = P(z < ...

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