1. Finding probabilities for standard normal distributions(z)4.85 & 4.872. Finding z-values 4.88, question a, b, d and e only. 4.89, Question a and b only. Finding probabilities for general normal distributions(x) 4.93Finding z scores using the formula z= (x-u)/o( sigma) 4.91

Exercises 4.84-4.116 Learning the Mechanics 4.93 Suppose x is a normally distributed random variable with 4.84 Find the area under the standard normal probability distri- A - 11 and er - 2. Find each of the following: button between the following pairs of z-scores a. P( 10 = x = 12) a. 1.46) b. P(z x) - 0125 a. P(0 x)-.95 c. P(-2.25 2.33) e. 10% of the values of x are less than xo- 4.87 Find each of the following probabilities for the standard f. 1% of the values of a are greater than .co- NW normal random variable z: 4.95 Suppose x is a binomial random variable with p - .4 and a. P(-1=:=1) b. P(-1.96 = = = 1.96) KW m - 25. c. P(-1045 = = = 1.645) d. P(-25z =2) a. Would it be appropriate to approximate the prob- 4.88 Find a value of the standard normal random variable z. call ability distribution of a with a normal distribution? it zo, such that Explain. a. P(-20 5 2 5 2) = 98 b. P(z 2: 20) = .05 b. Assuming that a normal distribution provides an ad- c P(: 2 0) - .70 d. P(z 2 zo) = 025 equate approximation to the distribution of x, what are " P(z = ) = .70 the mean and variance of the approximationg normal distribution? 4.89 Find a value of the standard normal random variable z, call c. Use Table I in Appendix D to find the exact value of NW it zo. such that P(x 2 9). a. P(z = z) = .2090 d. Use the normal approximation to find P(x 2 9). b. P(z = z) = .7090 c. P(-20 5 2 500) b. P(490 S x 550)