Question

In: Statistics and Probability

The table gives percentages for results of flipping six coins. Complete parts (a) through (c) below....

The table gives percentages for results of flipping six coins. Complete parts (a) through (c) below.

a. What is the probability that all six tosses are the same (all heads or tails)?

The probability is________ (simplify your answer)

b. What is the proability that the six tosses are not all the same?

The probability is ________(simplify your answer)

c. What is the probability of getting two heads and four tails when you toss six coins at once?

The probability is________(simplify your answer)

Result                                               Probability

0 heads, 6 tails                                  1/64

1 head, 5 tails                                     3/32

2 heads, 4 tails                                   15/64

3 heads, 3 tails                                      5/16

4 heads, 2 tails                                15/64

5 heads, 1 tail                                3/32

6 heads, 0 tails                             1/64

Solutions

Expert Solution



Related Solutions

Use the data in the table below to complete parts (a) through (c). X: 5 5...
Use the data in the table below to complete parts (a) through (c). X: 5 5 6 9 13 16 18 48 Y: 30 27 18 23 25 20 21 10 A.) Construct a scatterplot of the data. B.) Indentify any possible outliners. A.) The point (18,21) may be an outliner. B.) The point (48,10) may be an outliner C.) The point (5,27) may be an outliner. D.) The point (5,30) may be an outliner E.) There are no outliners....
Consider the following contingency table of observed frequencies. Complete parts a. through d. below. Click the...
Consider the following contingency table of observed frequencies. Complete parts a. through d. below. Click the icon to view the contingency table. Column Variable Row Variable    C1 C2    C3 R1 11    9 12 R2 11    6 6 a. Identify the null and alternative hypotheses for a​ chi-square test of independence with based on the information in the table. This test will have a significance level of alpha α=0.01. Choose the correct answer below. A. H0​: The...
Use the given data set to complete parts (a) through (c) below. (Use α = 0.05.)
Use the given data set to complete parts (a) through (c) below. (Use α = 0.05.) x1081391114641275y9.148.158.748.779.278.116.123.099.147.254.73Click here to view a table of critical values for the correlation coefficient. b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r= _______ (Round to three decimal places as needed.) Using the linear correlation coefficient found in the previous step, determine whether there is sufficient...
Complete parts ?(a) through ?(c) below. ?(a) Determine the critical? value(s) for a? right-tailed test of...
Complete parts ?(a) through ?(c) below. ?(a) Determine the critical? value(s) for a? right-tailed test of a population mean at the ? = 0.10 level of significance with 20 degrees of freedom. ?(b) Determine the critical? value(s) for a? left-tailed test of a population mean at the ? = 0.05 level of significance based on a sample size of n = 15. ?(c) Determine the critical? value(s) for a? two-tailed test of a population mean at the ? = 0.10...
For the data and sample regression equation shown​ below, complete parts​ (a) through​ (c). x 0...
For the data and sample regression equation shown​ below, complete parts​ (a) through​ (c). x 0 3 5 5 5      ModifyingAbove y with caret equals 4.500 minus 0.917 xy=4.500−0.917x y 4 3 0 −2 1 a. Determine the standard error of the estimate. b. Construct a residual plot. c. Construct a normal probability plot of the residuals. LOADING... Click the icon to view the table of normal scores.
Consider the following contingency table of observed frequencies. Complete parts a. through d. below. Column Variable...
Consider the following contingency table of observed frequencies. Complete parts a. through d. below. Column Variable Row Variable C1 C2 C3 R1 7 6 9 R2 11 9 8 a. Identify the null and alternative hypotheses for a​ chi-square test of independence with based on the information in the table. This test will have a significance level of α=0.05. Choose the correct answer below. A. H0​: The variables R1​, R2​, C1​, C2​, and C3 are independent. H1​: At least one...
Consider the following contingency table of observed frequencies. Complete parts a. through e. below. Column Variable...
Consider the following contingency table of observed frequencies. Complete parts a. through e. below. Column Variable Row Variable Upper C 1C1 Upper C 2C2 Upper C 3C3 Upper R 1R1 2020 77 1818 Upper R 2R2 88 88 1313 Upper R 3R3 88 1616 6 Click the icon to view the contingency table.a. Identify the null and alternative hypotheses for a​ chi-square test of independence based on the information in the table. This test will have a significance level of...
Using these results, complete the table below and then use your results to answer the questions...
Using these results, complete the table below and then use your results to answer the questions that follow. (Please remember to round all answers to two decimal places: 0.00 at each step.) (23 points) X X-M (X-M)2 1 14 -15.85 251.22 2 16 -13.85 191.82 3 18 -11.85 140.42 4 20 -9.85 97.02 5 23 -6.85 46.92 6 23 -6.85 46.92 7 25 -4.85 23.52 8 27 -2.85 8.12 9 28 -1.85 3.42 10 29 -0.85 0.72 11 30 0.15...
5. Use the given data set to complete parts​ (a) through​ (c) below.​ (Use a=0.05.) x             ...
5. Use the given data set to complete parts​ (a) through​ (c) below.​ (Use a=0.05.) x              y 10           7.45 8              6.77 13           12.75 9              7.11 11           7.81 14           8.84 6              6.08 4              5.39 12           8.14 7              6.43 5              5.73 a. Construct a scatterplot Find the linear correlation​ coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r=_____. ​(Round to three decimal places as​...
Use the given data set to complete parts (a) through (c) below. (Use alphaαequals= 0.05.) x...
Use the given data set to complete parts (a) through (c) below. (Use alphaαequals= 0.05.) x 10 8 13 9 11 14 6 4 12 7 5 y 7.45 6.77 12.75 7.11 7.82 8.83 6.07 5.39 8.15 6.43 5.74 Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r=
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT