A random variable follows the normal probability distribution with a mean of 132 and a standard deviation of 20 . Complete parts (a) through (d) below. Click here to view page 1 of the standard normal probability table. Click here to view page 2 of the standard normal probability table. a) What is the probability that a randomly selected value from this population is between 119 and 143? (Round to four decimal places as needed.) b) What is the probability that a randomly selected value from this population is between 135 and 165? (Round to four decimal places as needed.) c) What is the probability that a randomly selected value from this population is between 91 and 105 ? (Round to four decimal places as needed.) d) What is the probability that a randomly selected value from this population is between 128 and 176? (Round to four decimal places as needed.) For a standard normal distribution, determine the probabilities in parts a through d below. Click here to view page 1 of the standard normal probability table. Click here to view page 2 of the standard normal probability table. a. Find P(z≤1.52) P(z≤1.52)= (Round to four decimal places as needed.) b. Find P(z≤−1.21) P(z≤−1.21)= (Round to four decimal places as needed.) c. Find P(−0.87≤z≤1.72). P(−0.87≤Z≤1.72)= (Round to four decimal places as needed.) d. Find P(0.32≤Z≤2.14). P(0.32≤z≤2.14)=