Reference no: EM132581305

Maggie is a social worker. For the last 225 days she has recorded her client caseload per day. The results are in the accompanying table. In this problem x is the number of clients Maggie sees per day and the frequency is the number of days on which she sees x clients. (show all work) X= 0, 1, 2, 3, 4, 5 Frequency= 4, 12, 25, 54, 55, 75

a) Find the probability distribution for this data (round four decimal place).

b) Find the expected number (mean) of clients Maggie sees per day (round one decimal place).

c) Find the standard deviation for this distribution (round one decimal place).

d) Find the probability that Maggie will see at least 3 clients per day (round four decimal place).

e) Find the probability that Maggie will see no more than 1 client per day (round four decimal place).

f) Construct a probability histogram for this distribution.