For itemized tax returns in the $60,000$75,000 income group for the most recent year reported, the average charitable contribution was $1935 Assume a normal distribution and a standard deviation of $400 a For a randomly selected household from this income group, what is the probability that the hou...

Let x charitable contribution x is normally distributed with m 1935 and s 400 a 10000 02005 07995 b ...

For itemized tax returns in the $60,000$75,000 income group for the most recent year reported, the average

Question:

For itemized tax returns in the $60,000–$75,000 income group for the most recent year reported, the average charitable contribution was $1935. Assume a normal and a standard deviation of $400.
a. For a randomly selected household from this income group, what is the probability that the household made charitable contributions of at least $1600?
b. For a randomly selected household from this income group, what is the probability that the household made charitable contributions of between $2200 and $2400?
c. What level of contributions was exceeded by only 20% of the itemized returns in this income group?
d. What level of contributions was exceeded by 40% of the itemized returns in this income group? Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...