Use the appropriate normal distributions to approximate the resulting binomial distribution. 1. A fair coin is tossed 20 times. Find the probability of obtaining a. less than 8 heads b. more than 6 heads c. between 6 and 10 heads inclusive
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Use the appropriate
1. A fair coin is tossed 20 times. Find the
a. less than 8 heads b. more than 6 heads
c. between 6 and 10 heads inclusive
2. A coin is weighted so that the probability of obtaining a head in a single toss is 0.4. If the coin is tossed 25 times, determine the probability of obtaining
a. less than 10 heads
b. between 10 and 12 heads inclusive
c. more than 15 heads
3. A basketball player has a 75 percent chance of making a free throw. What is the probability of his making 100 or more free throws in 120 trials?
4. A marksman’s chance of hitting a target with each of his shots is 60 percent. If he fires 30 shots, what is the probability of his hitting the target
a. at least 20 times? b. less than 10 times?
c. between 15 and 20 times inclusive?
5. A marksman’s chance of hitting a target with each of his shots is 60 percent. If he fires 30 shots, what is the probability of his hitting the target
a. at least 20 times? b. less than 10 times?
b. between 15 and 20 times inclusive?
6. A binomial experiment consists of four trials in which the probability of success in any one trials is 2/5.
a. Construct the probability distribution for the experiment.
b. Compute the mean and standard deviation of the probability distribution
7. Let Z be the standard normal variable. Make a rough sketch of the appropriate region under the standard normal curve and find
a. P(Z < 0.5)
b. P(Z < -0.75)
c. P(-0.75 < Z < 0.5)
8. Let Z be the standard normal variable. Find z if z satisfies
a. P(Z < z ) = 0.9922
b. P(Z < z ) = 0.1469
c. P(Z > z ) = 0.9788
d. P(-z < Z < z ) = 0.8444
9. Let X be a normal random variable with = 10 and = 2. Find the values of
a. P(X < 11) b. P(X > 8)
c. P(7 < X < 9)
10. If the probability that a bowler will bowl a strike is 0.7, what is the probability that he will get exactly two strikes in four attempts?
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