# Question: Assume that x is a binomial random variable with n

Assume that x is a binomial random variable with n and p as specified in parts a–f that follows. For which cases would it be appropriate to use a normal distribution to approximate the binomial distribution?

a. n = 100, p = .01

b. n = 20, p = .6

c. n = 10, p = .4

d. n = 1,000, p = .05

e. n = 100, p = .8

f. n = 35, p = .7

a. n = 100, p = .01

b. n = 20, p = .6

c. n = 10, p = .4

d. n = 1,000, p = .05

e. n = 100, p = .8

f. n = 35, p = .7

## Answer to relevant Questions

Assume that x is a binomial random variable with n = 1,000 and p = .50. Find each of the following probabilities: a. P(x > 500) b. P(490 ≤ x < 500) c. P(x > 550) In Exercise, you learned that some researchers believe that one in every three women has been a victim of domestic abuse (Domestic Vidence: Incidence and Prevalance study, Sep–Dec., 2005). a. For a random sample of 150 ...The optimal scheduling of preventative maintenance tests of some (but not all) of n independently operating components was developed in Reliability Engineering and System Safety (Jan. 2006). The time (in hours) between ...Assume that x has an exponential distribution with θ = 3. Find a. P(x ≤ 1) b. P(x > 1) c. P(x = 1) d. P(x ≤ 6) e. P(2 ≤ x ≤ 10) In Exercise, you learned that 60% of parents with young children condone spanking their child as a regular form of punishment (Tampa Tribune, Oct. 5, 2000). A child psychologist with 150 parent clients claims that no more ...Post your question