3diff questions.

You may need to use the appropriate appendix table to answer this question. Given that z is a standard normal random variable, find z for each situation. (Round your answers to two decimal places.) (a) The area to the left of z is 0.2119. (b) The area between z and z is 0.9232. (c) The area between z and z is 0.2128. (d) The area to the left of z is 0.9952. (e) The area to the right of z is 0,5793 . You may need to use the appropriate appendix table to answer this question. The average return for large-cap domestic stock funds over three years was 14.4%. Assume the three-year returns were normally distributed acress funds wzh a standard deviation of 4.4. 4 . (o) What is the probability an individual iarge-cap domestic stock fund had o three-year return of at least 23% ? (Round your answer to four decimal places) (b) What is the probablity an individual large-cap domestic stock fund had a three-year return of 10% or less? (Round your answer to four decimal places.) (c) How big does the return have to be to put a domestic stock fund in the top tow for the three-year period? (Round your answer to two decimal places.) The probability statement was determined to be P(z0.36). Recall that the normal probability table below gives the area under the curve to the lett of a given 2 -value and tae ericid under this curve is 1. Here, we want the area to the right of z=0.36, so we can subtract the ares to the left of z=0.35 from 1 . Use the table excerpt above to find the probability that an individual large-cap domestic stock fund has a three-year return of at lesst iethi, rountry ta four istainal poced. P(z0.36)=1