Math 107 Section 11.5 Name Read all directions before answering a question. Show any and all work on this sheet or the back if needed. Write answers on this sheet of paper. Either leave answers as reduce fractions or a decimal rounded to three places. Yes, expected values can have a non-whole number answer. 1) The random variable X is the number of siblings of a student selected at random from a particular secondary school. Its probability distribution is given in the table. Find the expected value of the number of siblings a student may have. 1). x0 1 1 1 3 4 3 5 1 1 P(X = x) 3 4 16 48 12 24

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Math 107
Section 11,5
Name
Read all directions before answering a question. Show any and all work on this sheet or the back if needed.
Write answers on this sheet of paper. Either leave answers as reduce fractions or a decimal rounded to three
places. Yes, expected values can have a non-whole number answer.
1) The random variable X is the number of siblings of a student selected at
random from a particular secondary school. Its probability distribution is given
in the table.
Find the expected value of the number of siblings a student may have.
1)
2
3
4
5
1 1
3 4
3
1
1
P(X = x)
16 48
12
24
Show the probability distribution, on the back of this page, of the given problems to help answer the
question.
2) Ten thousand raffle tickets are sold. One first prize of $1600, 4 second prizes of
$700 each, and 8 third prizes of $400 each are to be awarded, with all winners
selected randomly. If you purchase one ticket, what are your expected
winnings?
2)
3) If 3 balls are drawn at random from a bag containing 3 red and 4 blue balls,
what is the expected number of red balls in the sample?
3)
4) Experience shows that a ski lodge will be full (162 guests) if there is a heavy
snow fall in December, while only partially full (53 guests) with a light snow fall.
What is the expected number of guests if the probability for a heavy snow fall
is .40? Assume that heavy snowfall and light snowfall are the only two
possibilities.
4)
5) Families with 5 children are randomly selected, find the expected number of
boys a family might have.
5)
1
Transcribed Image Text:Math 107 Section 11,5 Name Read all directions before answering a question. Show any and all work on this sheet or the back if needed. Write answers on this sheet of paper. Either leave answers as reduce fractions or a decimal rounded to three places. Yes, expected values can have a non-whole number answer. 1) The random variable X is the number of siblings of a student selected at random from a particular secondary school. Its probability distribution is given in the table. Find the expected value of the number of siblings a student may have. 1) 2 3 4 5 1 1 3 4 3 1 1 P(X = x) 16 48 12 24 Show the probability distribution, on the back of this page, of the given problems to help answer the question. 2) Ten thousand raffle tickets are sold. One first prize of $1600, 4 second prizes of $700 each, and 8 third prizes of $400 each are to be awarded, with all winners selected randomly. If you purchase one ticket, what are your expected winnings? 2) 3) If 3 balls are drawn at random from a bag containing 3 red and 4 blue balls, what is the expected number of red balls in the sample? 3) 4) Experience shows that a ski lodge will be full (162 guests) if there is a heavy snow fall in December, while only partially full (53 guests) with a light snow fall. What is the expected number of guests if the probability for a heavy snow fall is .40? Assume that heavy snowfall and light snowfall are the only two possibilities. 4) 5) Families with 5 children are randomly selected, find the expected number of boys a family might have. 5) 1
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