Forty-seven percent of fish in a river are catfish. imagine scooping out a simple random sample of 25 fish from the river and observing the sample proportion of catfish. what is the standard deviation of the sampling distribution? determine whether the 10% condition is met.

the standard deviation is 0.0998. the 10% condition is not met because there are less than 250 fish in the river.
the standard deviation is 0.0998. the 10% condition is met because it is very likely there are more than 250 fish in the river.
the standard deviation is 0.9002. the 10% condition is met because it is very likely there are more than 250 fish in the river.
the standard deviation is 0.9002. the 10% condition is not met because there are less than 250 fish in the river.
we are unable to determine the standard deviation because we do not know the sample mean. the 10% condition is met because it is very likely there are more than 250 fish in the river.

Raj encoded a secret phrase using matrix multiplication. using a = 1, b = 2, c = 3, and so on, he multiplied the clear text code for each letter by the matrix to get a matrix that represents the encoded text. the matrix representing the encoded text is . what is the secret phrase? determine the location of spaces after you decode the text. yummy is the corn the tomato is red the corn is yummy red is the tomato

The price of a visit to the dentist is calculated according to the formula 50+100n50+100n where nn is the number of cavities the dentist finds. on your last visit to the dentist, 22 cavities were found. what was the cost of your visit?

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.