Please answer all 1.Let y be a random variable that has the standard normal distribution. If P(y Select one:
a. 0.8416
b. 0.5244
c. 0.1584
d. -0.5244

2.Let y be a random variable that has the standard normal distribution. If P(-a Select one:
a. 0.3255
b. -0.3255
c. 0.6745
d. 0.000

3.Scores on a Math test are normally distributed with a mean of 35.6 and a standard deviation of 8.7. If 15 students are randomly selected, find the probability that the mean of their test scores is at most 40.
Select one:
a. 0.4749
b. 0.5250
c. 0.0251
d. 0.9749

4. Scores on a Math test are normally distributed with a mean of 35.6 and a standard deviation of 8.7. What is the probability that a randomly selected student get at most 40 in the test?
Select one:
a. 0.6935
b. 0.3065
c. 0.6730.
d. 0.3270

5. Scores on a Math test are normally distributed with a mean of 35.6 and a standard deviation of 8.7. What is the probability that a randomly selected student get a score from 36 to 40 in the test?
Select one:
a. 0.1981
b. 0.1751
c. 0.1684
d. 0.8249

6.For a given x score, its standardized score z = (x - μ)/σ is
Select one:
a. the probability between that score and the mean
b. negative for values below the mean
c. the number of means that score is from the standard deviation
d. not changed by the addition of one more score to the data set

7.Scores on a Math test are normally distributed with a mean of 35.6 and a standard deviation of 8.7. What is the probability that a randomly selected student get at least 37 in the test?
Select one:
a. 0.4588
b. 0.5412
c. 0.4361
d. 0.5639

8.For the standard normal distribution,
Select one:
a. P(0< z <2) = 2 P(0< z <1)
b. P(0< z < 1) = 0.3413
c. P(z = 1.00) = 0.3413
d. P(-1 < z < 0) = -P( 0< z <1)

9.Let y be a random variable that has the standard normal distribution. The value of P(-1.5 < y < 0) is
Select one:
a. 0.5668
b. 0.4332
c. 0.9332
d. -0.4332

10.Let y be a random variable that has the standard normal distribution. The value of P(y<-1.5) is
Select one:
a. 0.0668
b. 0.4332
c. -0.0668
d. 0.9332