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Mathematics, 09.06.2021 06:40 angie249

A car dealer sold 750 automobiles last year. The following table categorizes the cars sold by size and color and presents the number of cars in each category. A car is to be chosen at random from the 750 for which the owner will win a lifetime of free oil changes. Give your answer as a fraction and as a decimal (up to 4 decimal places) in the given spaces. WhiteBlackRedGreyTotal
Small1027133134340
Midsize866336105290
Large26322240120
Total21416691279750
a. What is the probability that the car is white AND large?

b. What is the probability that the car is red OR small?

c. If the car is white, what is the probability that it is midsize?

d. If the car is large, what is the probability that it is red?

e. If the car is red, what is the probability that it is large?

f. If the car is not large, what is the probability that it is not grey?

g. Determine whether color and size are independent. Justify your answer by showing your work here. (HINT: Use multiplication rule or conditional probabilities from above)

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