According to the current results website, the state of california has a mean annual rainfall of 23 inches, whereas the state of new york has a mean annual rainfall of 51 inches. assume that the standard deviation for both states is 4 inches. a sample of 30 years of rainfall for california and a sample of 45 years of rainfall for new york has been taken. use z-table. a. show the probability distribution of the sample mean annual rainfall for california. (to 4 decimals).b. what is the probability that the sample mean is within 1 inch of the population mean for california? (to 4 decimals)c. what is the probability that the sample mean is within 1 inch of the population mean for new york? (to 4 decimals)

At river bank, checking account customers earn 0.75% interest a month on their account balances, pay no service fees for writing checks, and pay a monthly $2.00 financial charge. calculate the income earned in one month on the checking account for a customer with an account balance of $1,000. a. $4.25 b. $5.50 c. $6.75 d. $7.25 checking account earnings at baker’s bank are expressed by the equation: i = -0.09x + 10.2. while the earnings at elite bank are modeled by: i = -0.02x + 7.5. in both cases, x is the number of checks written. at what number of checks will elite bank start generating more checking account income than baker's bank? a. 12 b. 25 c. 39 d. 42 emilio’s checking account had a balance of 728.32 at the beginning of the week. he wrote checks for the following amounts throughout the week: $99.48, $33.50, $18.23, and $72.05. he also deposited his paycheck in the amount of $1,109.90. what is his account balance at the end of the week? a. $1,192.35 b. $1,222.86 c. $1,540.52 d. $1,614.96