Maths Questions

Maths Questions

Question 1
1. Find the indicated probability. A sample
space consists of 174 separate events that are equally likely. What is the
probability of each?
0
1
174
1/174
Question 2
1. From the information provided, create the
sample space of possible outcomes. Flip a coin twice.
HH, TT, HT, HT
HH, HT, TH, TT
HT, TH
HH, HT, TT
Question 3
1. Find the indicated probability. A spinner has
equal regions numbered 1 through 21. What is the probability that the spinner
will stop on an even number or a multiple of 3?
2/3
10/9
17
1/3
Question 4
1. Find the indicated probability. Round to the
nearest thousandth. A study conducted at a certain college shows that 55% of
the school’s graduates find a job in their chosen field within a year after
graduation. Find the probability that among 7 randomly selected graduates, at
least one finds a job in his or her chosen field within a year of graduating.
0.550
0.996
0.143
0.985
Question 5
1. Evaluate the expression. 4!
28
20
6
24
Question 6
1. Solve the problem. How many ways can 6 people
be chosen and arranged in a straight line if there are 8 people to choose from?
720
48
20,160
40,320
Question 7
Find the mean of the given probability
distribution. Choose A, B, C, or D
x / P(x)
0 0.42
1 0.12
2 0.34
3 0.05
4 0.07
Question 8
1. Assume that a researcher randomly selects 14
newborn babies and counts the number of girls selected, x. The probabilities
corresponding to the 14 possible values of x are summarized in the given table.
Answer the question using the table. Find the probability of selecting exactly
8 girls.
0.183
0.022
0.122
0.000
Question 9
1. Provide an appropriate response. In a game,
you have a 1/36 probability of winning $94 and a 35/36 probability of losing
$8. What is your expected value?
$10.39
-$5.17
-$7.78
$2.61
Question 10
1. Determine whether the given procedure results
in a binomial distribution. If not, state the reason why. Rolling a single die
57 times, keeping track of the numbers that are rolled.
Not binomial: there are too many trials.
Not binomial: the trials are not independent.
Procedure results in a binomial distribution.
Not binomial: there are more than two outcomes
for each trial.
Question 11
1. Assume that a procedure yields a binomial
distribution with a trial repeated n times. Use the binomial probability
formula to find the probability of x successes given the probability p of
success on a single trial. Round to three decimal places. n = 5, x = 2, p =
0.70
0.464
0.198
0.700
0.132
Question 12
1. Find the indicated probability. Round to
three decimal places. 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 the test?
0.828
0.172
0.205
0.377
Question 13
1. Find the standard deviation, , for the
binomial distribution which has the stated values of n and p. Round your answer
to the nearest hundredth. n = 21; p = 0.2
1.83
5.95
5.10
-0.58
Question 14
1. Use the Poisson Distribution to find the
indicated probability. If the random variable x has a Poisson Distribution with
mean 6, find the probability that x = 2.
0.05577
0.04462
0.12128
0.01487
Question 15
1. Use the Poisson model to approximate the
probability. Round your answer to four decimal places. Suppose the probability
of a major earthquake on a given day is 1 out of 15,000. Use the Poisson
distribution to approximate the probability that there will be at least one
major earthquake in the next 2000 days.
0.1248
0.0081
0.8752
0.8833
0.1167
Question 16
1. Given the linear correlation coefficient r
and the sample size n, determine the critical values of r and use your finding
to state whether or not the given r represents a significant linear
correlation. Use a significance level of 0.05. r = 0.523, n = 25
Critical values: r = ±0.487, significant linear
correlation
Critical values: r = ±0.396, no significant
linear correlation
Critical values: r = ±0.396, significant linear
correlation
Critical values: r = ±0.487, no significant
linear correlation
Question 17
Construct a scatterplot for the given data.
Choose A, B, C, or D.
X / Y
1 7
-7 -1
-2 -7
-4 5
1 2
5 3
-6 -2
7 1
-4 -5
-2 -3
Question 18
Find the value of the linear correlation
coefficient r
X / Y
23.6 4
35.3 9
18.3 3
49.0


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