Every week a company provides fruit for its office employees. They can choose from among five kinds of fruit. Which probabilities correctly complete
this probability distribution for the 50 pieces of fruit, in the order listed?
Fruit
Apples Bananas Lemons Oranges Pears
10
6
8
14
12
Number of pieces
Probability
A. Probability 0.2 0.12 0.16 0.28 0.24
O B. Probability 0.16 0.2
0.1 0.3
0.24
O c. Probability 0.2 0.3 0.12 0.28 0.1

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

Kapil needed to buy a long wooden beam. he went to two sawmills that each charge an initial fee plus an additional fee for each meter of wood. the following equation gives the price (in dollars) of a wooden beam from the first sawmill as a function of its length (in meters). p = 5+20xp=5+20x

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.