5. A study conducted by the Pew Research Center showed that 70% of 18- to 34-year-olds living with their parents say they contribute to household expenses. Suppose that a random sample of fifteen 18-to 34-year-olds living with their parents is selected and asked if they contribute to household expenses. a) Using the given Binomial cumulative probability table, find the probability that at least 10 of the fifteen 18-to 34-year-olds living with their parents contribute to household expenses. b) Find the mean and standard deviation from the information above. k 0 2 3 4 5 6 7 8 Binomial Cumulative Probability Table n = 15 Р 9 10 11 .05 .463 .829 .964 .995 .999 1.000 .998 1.000 1.000 .982 .869 1.000 1.000 .996 .950 1.000 1.000 .999 .10 .20 .30 .206 .035 .005 .549 .167 .035 .816 .398 .127 .944 .648 .297 .987 .985 1.000 1.000 1.000 .996 1.000 1.000 1.000 .999 1.000 1.000 1.000 1.000 12 1.000 1.000 1.000 1.000 1.000 1.000 1.000 13 14 1.000 1.000 1.000 15 1.000 1.000 1.000 .40 .000 .50 .60 .000 .000 .000 .000 .004 .000 .005 .027 .091 .018 .836 .515 217 .939 .722 .403 .151 .034 .610 .304 .095 .787 .500 .905 .966 .991 .998 1.000 1.000 1.000 1.000 1.000 1.000 1.000 .002 .059 .009 .70 .000 .000 .000 .000 .001 .004 .000 .015 .050 .131 .80 .90 .95 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .001 .000 .004 .000 .018 .000 .061 .002 .164 .013 .352 .056 .213 .696 .390 .849 .597 .278 .941 .783 .485 .982 .909 .703 .996 .973 .873 1.000 .995 .965 1.000 1.000 .995 1.000 1.000 1.000 .000 .000 .000 .000 .000 .001 .005 .602 .184 .036 .833 .451 .171 .965 .794 .537 1.000 1.000 1.000

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Please provide step-by-step calculations with formulas.

5. A study conducted by the Pew Research Center showed that 70% of 18- to 34-year-olds living
with their parents say they contribute to household expenses. Suppose that a random sample
of fifteen 18-to 34-year-olds living with their parents is selected and asked if they contribute to
household expenses.
a)
Using the given Binomial cumulative probability table, find the probability that at least 10
of the fifteen 18-to 34-year-olds living with their parents contribute to household expenses.
b) Find the mean and standard deviation from the information above.
k
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
.05
.463
.829
.10
.20
206 .035
.549 .167
Binomial Cumulative Probability Table
n = 15
Р
.30
.40
.50
.005
.000 .000
.035 .005 .000
.60
.000
.000
.70
.80
.964
.816 .398
.027
.004
.127
.944 .648 .297
.995
.091 .018
.999 .987 .836 .515
217 .059
1.000 .998 .939
.403
1.000 1.000 .982
.869
.610
.304
1.000 1.000 .996
.950
.787 .500
1.000 1.000 .999
1.000 1.000 1.000
1.000 1.000 1.000
.909
.985 .905 .696
.996 .966 .849
.597
.999 .991 .941 .783
1.000 1.000 1.000 1.000 .998 .982
1.000 1.000 1.000 1.000 1.000 .996
1.000 1.000 1.000 1.000 1.000 .995
1.000 1.000 1.000 1.000 1.000 1.000
1.000 1.000 1.000 1.000
.973 .873
1.000
1.000
.965
.995
1.000
1.000
1.000 1.000
.90
.95
.000 .000
.000
.000
000
.000 .000
.000
.000
.000
.002
.000
.000 .000
.009 .001 .000 .000
.034
.004
.095
.015 .001
.213
.050
.004
.390
.131 .018
.278
.485
.703
.000
.000
.000
.061 .002
.164
.013
.352 .056
.602 .184
.833 .451
.965 .794
1.000 1.000
.000
.000
.000
.000
.000
.000
.000
.000
.001
.005
.036
.171
.537
1.000
Transcribed Image Text:5. A study conducted by the Pew Research Center showed that 70% of 18- to 34-year-olds living with their parents say they contribute to household expenses. Suppose that a random sample of fifteen 18-to 34-year-olds living with their parents is selected and asked if they contribute to household expenses. a) Using the given Binomial cumulative probability table, find the probability that at least 10 of the fifteen 18-to 34-year-olds living with their parents contribute to household expenses. b) Find the mean and standard deviation from the information above. k 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 .05 .463 .829 .10 .20 206 .035 .549 .167 Binomial Cumulative Probability Table n = 15 Р .30 .40 .50 .005 .000 .000 .035 .005 .000 .60 .000 .000 .70 .80 .964 .816 .398 .027 .004 .127 .944 .648 .297 .995 .091 .018 .999 .987 .836 .515 217 .059 1.000 .998 .939 .403 1.000 1.000 .982 .869 .610 .304 1.000 1.000 .996 .950 .787 .500 1.000 1.000 .999 1.000 1.000 1.000 1.000 1.000 1.000 .909 .985 .905 .696 .996 .966 .849 .597 .999 .991 .941 .783 1.000 1.000 1.000 1.000 .998 .982 1.000 1.000 1.000 1.000 1.000 .996 1.000 1.000 1.000 1.000 1.000 .995 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 .973 .873 1.000 1.000 .965 .995 1.000 1.000 1.000 1.000 .90 .95 .000 .000 .000 .000 000 .000 .000 .000 .000 .000 .002 .000 .000 .000 .009 .001 .000 .000 .034 .004 .095 .015 .001 .213 .050 .004 .390 .131 .018 .278 .485 .703 .000 .000 .000 .061 .002 .164 .013 .352 .056 .602 .184 .833 .451 .965 .794 1.000 1.000 .000 .000 .000 .000 .000 .000 .000 .000 .001 .005 .036 .171 .537 1.000
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