company sels two major brands of skid steers, which we will call Brand A and Bra

Question

company sels two major brands of skid steers, which we will call Brand A and Brand B. Skid steers have oiher a vertical it or a rotational ift Last year the oompary sold 250 skid steers, and the breakdown by type is shown in the table below. Assume he company expects simlar sales for this year Lift type Vertice! Rotetiona Alpha 30 Beta 45 Theta 30 40 60 45 a. What is the probability a costumer will purchase a Theta skid steer? (3 points) to b, what is the probabilty a asomer wil purchase vertical lift skid steer? (3 ports) c. What is the probability that a customer purchases a vertical lift skid stoor, if he has already stated that he wants Brand Theta? (6 points) d. What is the probability that a customer purchases a Brand Theta skid steer, if he has already stated that he wants a vertical ift skid steer? (6 points)

Explanation / Answer

Solution:

Given,

( a )

Probability that the customer will buy theta skid steer = 75 / 250 = 0.3

( b )

Probability that the customer will buy vertical lift skid steer = 105 / 250 = 0.42

( c )

Probability that the customer will buy vertical lift skid steer if he states that he wants brand theta = 30 / 75 = 0.4

( d )

Probability that the customer will buy brand theta skid steer if he states that he wants vertical lift skid steer  

= 30 / 105 = 0.2857

Lift type Lift type Vertical Rotational Total Alfa 30 40 70 Beta 45 60 105 Theta 30 45 75 Total 105 145 250

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