5. The probability distribution for the number of automobiles lined up at a Lake

Question

5. The probability distribution for the number of automobiles lined up at a Lakeside Olds at opening time (7:30 a.m.) for service is Number Probability 0.05 0.30 0.40 0.25 On a typical day, how many automobiles should Lakeside Olds expect to be lined up at opening time? 6. Chances are 50-50 that a pewborn baby will be a girl. For families with five children, what is the probability that all the children are girls? 7. A coin is tossed four times. The following table summarizes the experiment. What is the following table called? Number of Heads Probability of the Outcome 1 8 = 0.125 3 8 = 0.375 38 = 0.375 1 8 = 0.125 A. Probability distribution B. Cumulative frequency distribution C. Standard deviation D. Frequency table

Explanation / Answer

Q5.

f= 1

fx = 2.85

Mean = fx / f = 2.85 ~ 3

Q6.

P( X = 5 ) = ( 5 5 ) * ( 0.5^5) * ( 1 - 0.5 )^0
= 0.03125

Q7.

it is a probability distribution

Values ( X ) Frequency(f) fx ( X^2) f x^2 1 0.05 0.1 1 0.05 2 0.3 0.6 4 1.2 3 0.4 1.2 9 3.6 4 0.25 1 16 4

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