Download ExamView - Binomial Probability Problem Set

Name: ________________________ Class: ___________________ Date: __________
ID: A
Binomial Probability - At Least or At Most - Problem Set
Short Answer
2
1. On any given day, the probability that the entire Watson family eats dinner together is . Find the probability
5
that, during any 7-day period, the Watsons eat dinner together at least six times.
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2. The probability that a planted watermelon seed will sprout is . If Peyton plants seven seeds from a slice of
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watermelon, find, to the nearest ten thousandth, the probability that at least five will sprout.
3. A mathematics quiz has five multiple-choice questions. There are four possible responses for each question.
Jennifer selects her responses at random on every question. What is the probability she will select the correct
response for at most one question? What is the probability she will select the correct response to at least three
questions?
4. A spinner is divided into two regions, green and red. The probability of the pointer landing on the green region is
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. The pointer is spun 5 times. What is the probability of the pointer landing on the green region exactly 2 times?
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What is the probability of the pointer landing on the red region at least 4 times?
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Name: ________________________
ID: A
5. In each basketball game played, the Raiders have a probability of winning of
2
1
and a probability of losing of .
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3
Find the probability of the Raiders winning:
(1) exactly 4 out of five games
(2) at most 4 out of five games
(3) exactly 4 out of five games if they have already won the first two games
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6. The probability of rain on any given day is . What is the probability of at most one day of rain during the next
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three days?
7. In the accompanying diagram, the circle is divided into five equal sections. Assume an unbiased experiment when
a spinner is spun.
a
b
If the spinner is spun once, find: P(B); P(number)
If the spinner is spun three times, determine the probability it will land on
(1) no B’s
(2) at least two numbers
(3) no more than one number
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ID: A
Binomial Probability - At Least or At Most - Problem Set
Answer Section
SHORT ANSWER
1. ANS:
1472
. P(6 dinners) =
78125
PTS: 4
REF: 060331b
KEY: at least or at most
2. ANS:
0.7564. P(5 sprouts) =
+ P(7 dinners) =
STA: A2.S.15
+ P(6 sprouts) =
TOP: Binomial Probability
+ P(7 sprouts) =
PTS: 4
REF: 060529b
KEY: at least or at most
3. ANS:
648 106
,
1024 1024
STA: A2.S.15
TOP: Binomial Probability
PTS: 7
REF: 019941siii
KEY: at least or at most
4. ANS:
40 11
,
243 243
STA: A2.S.15
TOP: Binomial Probability
PTS: 10
KEY: spinner
5. ANS:
80 211 4
,
,
243 243 9
REF: 088942siii
STA: A2.S.15
TOP: Binomial Probability
PTS: 10
KEY: mixed
6. ANS:
7
27
REF: 088739siii
STA: A2.S.15
TOP: Binomial Probability
PTS: 2
REF: 068819siii
KEY: at least or at most
STA: A2.S.15
TOP: Binomial Probability
1
ID: A
7. ANS:
1 3 64 81 44
, ,
,
,
5 5 125 125 125
PTS: 10
KEY: spinner
REF: 088942siii
STA: A2.S.15
2
TOP: Binomial Probability