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AP Stats Probability #51-80 Exam Answered
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The SAT math scores for applicants to D. The probability that an applicant is considered is normalcdf (700, 1000,
a particular engineering school are 680, 35) = .2339. The probability that an applicant has a score above 750 is
normally distributed with a mean of normalcdf (750, 1000, 680, 35) = .0228.
680 and a standard deviation of 35.
The percentage below 750 given that the scores are above 700 is (.2839 -
Suppose that only applicants with
.0228) / .2839 = 92.0%.
scores above 700 are considered for
admission. What percentage of the
applicants considered have scores
below 750?
A. 2.3%
B. 28.4%
C. 71.6%
D. 92.0%
E. 97.7%
Given 2 events, E and F, such that P(E) = B. P(E u F) = P(E) + P(F) = P(E ∩ F), so .637 = .34 + .45 - .153. Since P(E ∩ F) ≠
.340, P(F) = .450 and P(E u F) = .637, 0, E and F are not mutually exclusive. However, P(E ∩ F) = .153 (.34 x .45),
then the 2 events are: which implies that E and F are independent.
A. independent and mutually exclusive.
B. independent but not
mutually exclusive.
C. mutually exclusive, but
not independent.
D. neither independent nor
mutually exclusive.
E. there is not enough information
to answer this question.
/ 1/
9
, Suppose we have a binomial random E. This is a binomial with p = 1- .37 = .63, and n = 4+7 = 11. So the mean
variable where the probability of is np = 11(.63) = 6.93.
exactly four successes is nC4 p⁴(.37)⁷.
What is the mean of the distribution?
A. 2.52
B. 2.59
C. 4.07
D. 4.41
E. 6.93
Which of the following statements is E. Because of symmetry the median and mean are always identical for all
incorrect? normal distributions. Many bell-shaped curves are NOT normal curves, and
A. In all normal distributions, the we don't CHOOSE mu and sigma.
mean and median are equal. For all normal curves, 99.7% % of the area is within 3 σ of the mean. When
B. A normal distribution is completely we standardize a variable, the shape of the distribution doesn't change.
determined by 2 numbers, its mean
adn its standard deviation.
C. All bell-shaped curves are normal
distributions for some choice of µ
and σ.
D. Virtually all the area under a
normal curve is within 3 standard
deviations of the mean, no matter
what the particular mean and
standard deviation are.
E. Standardized scores (z-scores) have
a normal distribution only if the
original distribution is normal.
A new soft drink product has an E. The sampling distribution of x-bar is approx. N with a mean of µ = 77
average number of 77 calories per and a standard deviation of σ = 4.5/√40 = 0.7115. The probability is
bottle with a standard deviation of 4.5 normalcdf(75, 80, 77, 0.7115) = .9975.
calories. In a random sample of 40
bottles, what is the probability that the
mean number of calories is between
75 and 80?
A. .4191
B. .4975
C. .5000
D. .8383
E. .9975
Suppose 2 events, E and F, have E. Independent implies P(E ∩ F) = P(E) x P(F), while mutually exclusive
nonzero probabilities p and q, implies P(E ∩ F) = 0. We are given that P(E) and P(F) are nonzero, so it is
respectively. Which of the following is impossible for E and F to be BOTH independent and mutually exclusive.
impossible?
A. p + q > 1
B. p-q < 0
C p/q > 1
D. E and F are neither independent nor
mutually exclusive.
E. E and F are both independent and
mutually exclusive.
/ 2/
9
AP Stats Probability #51-80 Exam Answered
Correctly 2025
Leave the first rating
Students also studied
Flashcard sets Study guides
Teacher35 terms 12 terms Teacher
16 terms
Previe Previe More
w w Preview
Terms in this set (29)
The SAT math scores for applicants to D. The probability that an applicant is considered is normalcdf (700, 1000,
a particular engineering school are 680, 35) = .2339. The probability that an applicant has a score above 750 is
normally distributed with a mean of normalcdf (750, 1000, 680, 35) = .0228.
680 and a standard deviation of 35.
The percentage below 750 given that the scores are above 700 is (.2839 -
Suppose that only applicants with
.0228) / .2839 = 92.0%.
scores above 700 are considered for
admission. What percentage of the
applicants considered have scores
below 750?
A. 2.3%
B. 28.4%
C. 71.6%
D. 92.0%
E. 97.7%
Given 2 events, E and F, such that P(E) = B. P(E u F) = P(E) + P(F) = P(E ∩ F), so .637 = .34 + .45 - .153. Since P(E ∩ F) ≠
.340, P(F) = .450 and P(E u F) = .637, 0, E and F are not mutually exclusive. However, P(E ∩ F) = .153 (.34 x .45),
then the 2 events are: which implies that E and F are independent.
A. independent and mutually exclusive.
B. independent but not
mutually exclusive.
C. mutually exclusive, but
not independent.
D. neither independent nor
mutually exclusive.
E. there is not enough information
to answer this question.
/ 1/
9
, Suppose we have a binomial random E. This is a binomial with p = 1- .37 = .63, and n = 4+7 = 11. So the mean
variable where the probability of is np = 11(.63) = 6.93.
exactly four successes is nC4 p⁴(.37)⁷.
What is the mean of the distribution?
A. 2.52
B. 2.59
C. 4.07
D. 4.41
E. 6.93
Which of the following statements is E. Because of symmetry the median and mean are always identical for all
incorrect? normal distributions. Many bell-shaped curves are NOT normal curves, and
A. In all normal distributions, the we don't CHOOSE mu and sigma.
mean and median are equal. For all normal curves, 99.7% % of the area is within 3 σ of the mean. When
B. A normal distribution is completely we standardize a variable, the shape of the distribution doesn't change.
determined by 2 numbers, its mean
adn its standard deviation.
C. All bell-shaped curves are normal
distributions for some choice of µ
and σ.
D. Virtually all the area under a
normal curve is within 3 standard
deviations of the mean, no matter
what the particular mean and
standard deviation are.
E. Standardized scores (z-scores) have
a normal distribution only if the
original distribution is normal.
A new soft drink product has an E. The sampling distribution of x-bar is approx. N with a mean of µ = 77
average number of 77 calories per and a standard deviation of σ = 4.5/√40 = 0.7115. The probability is
bottle with a standard deviation of 4.5 normalcdf(75, 80, 77, 0.7115) = .9975.
calories. In a random sample of 40
bottles, what is the probability that the
mean number of calories is between
75 and 80?
A. .4191
B. .4975
C. .5000
D. .8383
E. .9975
Suppose 2 events, E and F, have E. Independent implies P(E ∩ F) = P(E) x P(F), while mutually exclusive
nonzero probabilities p and q, implies P(E ∩ F) = 0. We are given that P(E) and P(F) are nonzero, so it is
respectively. Which of the following is impossible for E and F to be BOTH independent and mutually exclusive.
impossible?
A. p + q > 1
B. p-q < 0
C p/q > 1
D. E and F are neither independent nor
mutually exclusive.
E. E and F are both independent and
mutually exclusive.
/ 2/
9
