The number of points scored by each team in a tournament is normally distributed, with mean ? = 32 and standard deviation ? = 7. What is the probability of:
a. A team scoring 11 points or fewer?
b. A team scoring more than 15 points?
c. A team scoring between 20 and 40 points?
A. z = 11 - 32 / 7 = -3.0 standard deviations below the mean, which Table A2 shows implies
that the probability of scoring this few points would be .0013
B. z = 15 - 32 / 7 = -2.429 standard deviations below the mean, implying that the probability
of scoring 15 goals or fewer translates into .006. Thus, the probability of scoring more than this
is 1 - .006 = .994
C. Calculating the z-scores of each:
for 20: z = 20 - 32 / 7 = -1.714, thus Pr(X > 20) = 1 - .044 = .956
for 40: z = 40 - 32 / 7 = 1.143, thus Pr(X > 40) = .127
Thus Pr(X > 20) - Pr(X > 40) = .956 - .127 = .829
You might also like to view...
Who can vote in a closed primary election?
A. any registered voter of any party except independents B. only registered members of that party C. any registered voter of any party, and independents D. anyone, even unregistered voters E. None of these answers is correct.
What are the three roles undertaken by most members of Congress? Briefly explain what each of these roles entails and give an example of each.
What will be an ideal response?
How much has diversity increased in the federal workforce in the last 50 years? How diverse is the workforce now? How might the federal bureaucracy increase its diversity?
Answer:
The responsibilities of the General Assembly of the UN are to
a. approve the budget, pass resolutions, and select the UN secretary general in conjunction with the Security Council. b. begin actions on collective security, economic sanctions, and peacekeeping forces. c. raise money, govern trusteeships, and pass judgment on international legal cases. d. none of the above