For problems 1- 3, use the appropriate normal distribution to approximate the resulting binomial distributions.
1. A coin is weighted so that the probability of obtaining a head in a single toss is 0.3. If the coin is tossed 35 times, what is the probability of obtaining between 9 and 14 heads inclusive?
a. 0.749
b. 0.627
c. 0.701
d. 0.287
e. None of the above.
2. If 14% of men are bald, what is the probability that more than 100 in a random sample of 850 men are bald?
a. 0.9778
b. 0.9664
c. 0.0697
d. 0.0027
e. 0.0378
f. None of the above.
3. The Colorado Mining and Mineral Company has 1000 employees engaged in its mining operations. It has been estimated that the probability of a worker meeting with an accident during a 1-yr period is 0.08. What is the probability that more than 70 workers will meet with an accident during the 1-yr period?
a. 0.8665
b. 0.9089
c. 0.3585
d. 0.3827
e. None of the above.