Problem 5 (5 points). Suppose P(A)=0.5, P(B)=0.6, P(ANB)=0.2. Find P(AUB) %3D Problem 6 (15 points). An appliance store has the following probabilities for x = number of major appliances sold on a given day. x P(x) 6. 1 0.15 0.25 8 P(x) 0.1 0.06 0.05 0.04 3 0.14 9. 0.025 4 0.09 10 0.015 5 0.08 (a) Find the probability the store will sell 3 or fewer appliances. (b) Find the probability the store will sell 8 or more appliances. (c) Find the probability the store will sell between 3 and 5 appliances. (d) Find the expected number of appliances the store will sell. (e) Find the variance of the number of appliances the store will sell.

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Can you do Problem 5? Could you also do Problem 6 questions (a) and (b)?

Problem 5 (5 points). Suppose P(A)=0.5, P(B)=0.6, P(ANB)=0.2. Find P(AUB)
%3D
Problem 6 (15 points). An appliance store has the following probabilities for x = number
of major appliances sold on a given day.
x P(x)
6.
1 0.15
0.25 8
P(x)
0.1
0.06
0.05
0.04
3
0.14
9.
0.025
4 0.09 10 0.015
5 0.08
(a) Find the probability the store will sell 3 or fewer appliances.
(b) Find the probability the store will sell 8 or more appliances.
(c) Find the probability the store will sell between 3 and 5 appliances.
(d) Find the expected number of appliances the store will sell.
(e) Find the variance of the number of appliances the store will sell.
Transcribed Image Text:Problem 5 (5 points). Suppose P(A)=0.5, P(B)=0.6, P(ANB)=0.2. Find P(AUB) %3D Problem 6 (15 points). An appliance store has the following probabilities for x = number of major appliances sold on a given day. x P(x) 6. 1 0.15 0.25 8 P(x) 0.1 0.06 0.05 0.04 3 0.14 9. 0.025 4 0.09 10 0.015 5 0.08 (a) Find the probability the store will sell 3 or fewer appliances. (b) Find the probability the store will sell 8 or more appliances. (c) Find the probability the store will sell between 3 and 5 appliances. (d) Find the expected number of appliances the store will sell. (e) Find the variance of the number of appliances the store will sell.
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