whether 8) In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, what is the probability that less than 6 belong to an ethnic minority? A) 0.055 C) 0.913 B) 0.958 D) 0.981 9) According to government data, the probability that an adult was never in a museum is 15%. In a survey of 10 adults, what is the probability that two or less were never in a museum? A) 0.432 C) 0.501 B) 0.045 D) 0.820 10) A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass 16 the test? A) 0.377 C) 0.172 B) 0.828 D) 0.205 11) In a new auto study among 14 drivers living on one particular street, it was determined that 3 If 14 n, were involved in a car accident last year. drivers are randomly selected, what is the probability of getting 3 or more who were involved in a car accident last year? B) 0.604 D) 0.906 A) 0.393 C) 0.094 12) The probability that a house in an urban area will develop a leak is 5%. If 20 houses are randomly selected, what is the mean of the number of houses that developed leaks? (Special formula) B) 1.5 A) 0.5 C) 1 D) 2 13) A quiz consists of 620 true or false questions. If the student guesses on each question, what is the standard deviation of the number of correct answers, approximatelly? (Special formula) A) 17.6068169 B) 2 C) 12.4498996 D) 0
whether 8) In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, what is the probability that less than 6 belong to an ethnic minority? A) 0.055 C) 0.913 B) 0.958 D) 0.981 9) According to government data, the probability that an adult was never in a museum is 15%. In a survey of 10 adults, what is the probability that two or less were never in a museum? A) 0.432 C) 0.501 B) 0.045 D) 0.820 10) A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass 16 the test? A) 0.377 C) 0.172 B) 0.828 D) 0.205 11) In a new auto study among 14 drivers living on one particular street, it was determined that 3 If 14 n, were involved in a car accident last year. drivers are randomly selected, what is the probability of getting 3 or more who were involved in a car accident last year? B) 0.604 D) 0.906 A) 0.393 C) 0.094 12) The probability that a house in an urban area will develop a leak is 5%. If 20 houses are randomly selected, what is the mean of the number of houses that developed leaks? (Special formula) B) 1.5 A) 0.5 C) 1 D) 2 13) A quiz consists of 620 true or false questions. If the student guesses on each question, what is the standard deviation of the number of correct answers, approximatelly? (Special formula) A) 17.6068169 B) 2 C) 12.4498996 D) 0
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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Questions 8-13
Transcribed Image Text:whether
8) In a certain college, 33% of the physics majors
belong to ethnic minorities. If 10 students are
selected at random from the physics majors, what
is the probability that less than 6 belong to an
ethnic minority?
A) 0.055
C) 0.913
B) 0.958
D) 0.981
9) According to government data, the probability
that an adult was never in a museum is 15%. In a
survey of 10 adults, what is the probability that
two or less were never in a museum?
A) 0.432
C) 0.501
B) 0.045
D) 0.820
10) A test consists of 10 true/false questions. To pass
the test a student must answer at least 6 questions
correctly. If a student guesses on each question,
what is the probability that the student will pass
16
the test?
A) 0.377
C) 0.172
B) 0.828
D) 0.205
11) In a new auto study among 14 drivers living on
one particular street, it was determined that 3
If 14
n,
were involved in a car accident last
year.
drivers are randomly selected, what is the
probability of getting 3 or more who were
involved in a car accident last year?
B) 0.604
D) 0.906
A) 0.393
C) 0.094
12) The probability that a house in an urban area will
develop a leak is 5%. If 20 houses are randomly
selected, what is the mean of the number of houses
that developed leaks? (Special formula)
B) 1.5
A) 0.5
C) 1
D) 2
13) A quiz consists of 620 true or false questions. If the
student guesses on each question, what is the
standard deviation of the number of correct
answers, approximatelly? (Special formula)
A) 17.6068169
B) 2
C) 12.4498996
D) 0
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