The following probability distribution table shows the number of cars the top Sales Agents at Car Plus sells in a day and their corresponding probability. Number of cars, x 0 1 2 3 4 Probability, P(X=x) 0.10 0.20 0.30 a 0.05 a) Calculate the value of a [1] b) On a typical day, how many cars should the top sales agent expect to sell? c) What is the variance of the distribution? [2] [3]

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
The following probability distribution table shows the number of cars the top Sales Agents at Car
Plus sells in a day and their corresponding probability.
Number of cars, x
0
1
2
3
4
Probability, P(X=x)
0.10
0.20
0.30
a
0.05
a) Calculate the value of a
[1]
b) On a typical day, how many cars should the top sales agent expect to sell?
c) What is the variance of the distribution?
[2]
[3]
Transcribed Image Text:The following probability distribution table shows the number of cars the top Sales Agents at Car Plus sells in a day and their corresponding probability. Number of cars, x 0 1 2 3 4 Probability, P(X=x) 0.10 0.20 0.30 a 0.05 a) Calculate the value of a [1] b) On a typical day, how many cars should the top sales agent expect to sell? c) What is the variance of the distribution? [2] [3]
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