MCQs: Statistics

11. Find the area under the normal curve to the right of z - = -1.66
a. 0.9515
b. 0.9525
c. 0.0485
d. 0.0475

12. Find the area under the standard normal curve between z= 0 and z=3

a. 0.0010
b. 0.4987
c. 0.4641
d. 0.9987

13. Find the area under the standard normal curve between z =1 and z = 2.

a. 0.5398
b. 0.2139
c. 0.1359
d. 0.8413

14. For binomial distribution with n = 12 and p = 0.6 determine which statement is true
a. nq< 5
b. np > 5
c. cannot use normal distribution
d. all of the above

15. For the following conditions determine if it is appropriate to use the normal distribution to approximate a binomial distribution with n = 20 and q = 0.7

a. Mean > 5
b. standard deviation = 2.05
c. can use normal distribution
d. all of the above

16. Match the binomial probability P(x< 23) with the correct statement.

a. P(there are at most 23 successes)
b. P (there are at least 23 successes)
c. P (there are more than 23 successes)
d. P (there are at fewer 23 successes)

17. P (x > 23) is read as:
a. there are more than 23 successes)
b. P (there are at most 23 successes)
c. P (there are at least 23 successes)
d. P (there are more than 23 successes)

18. Ten percent of the population is left-handed. In a class of 100 students, write binomial probability for the statement "there are at most 12 left-handed students in the class"
a. P(x<12)
b. P(x<12)
c. P(x=12)
d. P (x>12)

19. Ten percent of the population is left-handed. A class of 100 students is selected. Convert the binomial probability (P(x<12) to a normal probability by using the correct for continuity.
a. P(x =11.5)
b. P(x < 12.5)
c. P (x <11.5)
d. P (x >12.5)

20. Find the probability that in 200 tosses of a fair six-sided die, a five will be obtained at most 40 times.

a. 0.9131
b. 0.1190
c. 0.8810
d. 0.0853