Statistics and Probability Answers

 The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days. a) About what percent of the products last between 10 and 12 days

For a Normal distribution with mean, μ

=

2

μ=2

, and standard deviation, σ

=

4

σ=4

,

10% of observations have a value less than  Round to 4 decimal places.

10% of observations have a value greater than  Round to 4 decimal places.

A box of 12 tins of tuna contains 6 which are tainted, suppose 7 tins are opened for inspection, find the probability that (a) exactly 3 of them are tainted, (b) at least 5 of them are tainted, (c) at most 3 of them are tainted

A bag contains a $100 bill and two $20 bills. A second bag contains 1 gold marble and 2 silver marbles. You get to pick one bill out of the first bag. After this, you get to pick a marble out of the second bag. If you get the gold marble, you get to triple the amount of money you pulled from the first bag. If you get a silver marble, you get to double the amount of money you picked from the first bag. Build a probability model for all different amounts of money that you might win.

in a locality of 18000 families a sample of 840 families was selected, of these 840 families, 206 families were found to have a monthly income of 7000 or less. It is desired to estimate how many out of the 18000 families have a monthly income of 3000 or less. Within what limits would you place your estimates

Based on a survey, the mean weekly allowance of the Grade 11 students of XYZ

University is Php750.00 with a standard deviation of Php100.00. Assuming that

the weekly allowance is normally distributed, what is the z-score of a student with

a weekly allowance of:

a. Php950.00

b. Php600.00