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for questions 1-3 indicate as discrete and continuous variable
1. number of students in a class.........
2. weight and IQ score...............
3.number of book in library..........
4. write down the properties of point estimators
5. calculate the interval (with 90% level) containing the population mean of performance based on the information given. given: σ=18;n=36 x̄=85
In certain town, 20% samples of the population are literate and assume that 200 investigators take samples of ten individuals to see whether they are literate. Find the probability that eight of the people are literate? How many investigators would you expect to report that 3 people or less are illiterates in the samples?
Seventy-five percent of female prison inmates are mothers. If 3 female prison inmates are selected at random, what is the probability that none are mothers? Round the final answer to three decimal places, if necessary.
p(none are mothers)=
6. Arrival rate of telephone calls at a telephone booth are according to Poisson distribution with an average time of 9 minutes between two consecutive arrivals. The length of telephone call is assumed to be exponential distributed with mean 3 minutes;
A. Determine the probability that a person arriving the booth will have to wait.
B. Find the average queue length that is form time to time.
C. Telephone company will install a second booth when convinced that an arrival would expect to have to wait at least 4 minutes for phone. Find the increase in flow of arrivals which will justify a second booth.
D. What is the probability that an arrival will have to wait for more than 10 minutes before the phone is free?
E. What is the probability that he will have to wait for more than 10 minutes before the phone is available and the call is also complete?
F. Find the fraction of the day that phone will be in use.
( M/M/1: ∞/FCFS Model)
25. A given distribution has m4 = 108.8 and m2 = 8.0; determine and explain kurtosis of the distribution
6. The probability that both of them will play soccer is
7. The probability that Martha or Ayyantu or both will play soccer is
8. The probability that both Martha and Ayyantu will not play soccer is
19. Let µ represent the population mean expenditure for 1999. Which of the following is the appropriate alternative hypothesis?
(A) µ ≠ 750 (B) µ = 750 (C) µ > 750 (D) µ < 750 (E) µ > 800
20. Which of the following is the appropriate rejection region?
(A) Z < –1.96 or Z > 1.96 (B) Z < –1.96 (C) Z < –1.645 (D) Z > 1.645
(E) –1.96 < Z < 1.96
21. Which of the following is the value of the test statistic?
(A) 50 (B) –0.36 (C) 0.36 (D) –2.5 (E) 2.5
#339914 on Dec 2023