Find the probability that Maggie will see at least 3 clients per day (round four decimal place).Find the probability that Maggie will see no more than 1 client per day (round four decimal place).Construct a probability histogram for this distribution. Maggie is a social worker. For the last 225 days she has recorded her client caseload per day. The results are in theaccompanying table. In this problem x is the number of clients Maggie sees per day and the frequency is thenumber of days on which she sees x clients. (show all work)X1.5Frequency41225545575

Name: Find the probability that Maggie will see at least 3 clients per day (
Uploaded: 2024-03-20T07:06:16.000Z
Channel: Bartleby
Description: Find the probability that Maggie will see at least 3 clients per day (round four decimal place).Find the probability that Maggie will see no more than 1 client per day (round four decimal place).Construct a probability histogram for this distribution

Given frequency table: Total frequency is 225 Probability(x) = frequency(x) / total frequency Probability distribution table: x P(X = x) 0 4/225 = 0.0178 1 12/225 = 0.0533 2 25/225 = 0.1111 3 54/225 = 0.24 4 55/225 = 0.2444 5 75/225 = 0.3333 Total 1 The probability that Maggie will see at least 3 clients per day : P(X≥3) = P(X=3)+P(X=4)+P(X=5) = 0.24+0.2444+0.3333 = 0.8177The probability that Maggie will see no more than 1 client per day: P(X≤1) = P(X=0)+P(X=1) = 0.0178+0.0533 = 0.0711probability histogram for this distribution.