Question

1. In Hypothetical Town, the probability that a teenager in a household has an Android device is 0.67 and the probably that a teenager in a household owns an Apple device is 0.33. A family has two teenagers. If X is the number of teenagers who own an Apple device, find the probability that the family has 0, 1, or 2 teenagers who own an Apple device.

(a) Draw a tree diagram showing the possibilities for each outcome.

(b) Create the binomial distribution table for P(X).

Show all your work.


Please help me

Answer 1

The probability that the family has 0 teenagers who own an Apple device is 44.44%, the probability that it has 1 is 44.44% and the probability that it has 2 is 11.11%.

Probabilities

Given that in Hypothetical Town, the probability that a teenager in a household has an Android device is 0.67 and the probability that a teenager in a household owns an Apple device is 0.33, to determine, if a family has two teenagers, the probability that the family has 0, 1, or 2 teenagers who own an Apple device, the following calculation must be performed:

• 0.67 x 0.67 = 0.44
• 0.67 x 0.33 x 2 = 0.44
• 0.33 x 0.33 = 0.11
• 0.44 + 0.44 + 0.11 = 0.99

Therefore, the probability that the family has 0 teenagers who own an Apple device is 44.44%, the probability that it has 1 is 44.44% and the probability that it has 2 is 11.11%.

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