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Find the number of ways in which the word "BREAD' can be arranged when




i) B and D take end places




ii) E is placed in middle




iii) vowels E and A always come together




iv) vowels E and A never come together

a populatpion of 1,000 students has an average weekly allowance of =350 and standard deviation of =56.13 .what is the probability that a random sample of size =30 will have an average weekly allowance between 335 and 360?


Find the t_a/2 value for a 95% confidence interval when the sample size is 22.

1. Let X be a random variable that denotes the number of passengers in a train station for a given hour. What are the possible values of X?

Suppose a population consists of the numbers 2,3,5,8 and 12. What is the mean of the




population? (Clue: Point Estimation)





determine the transformations of the function f(x)=−4x+1 from the parent function.


A pair of fair dice is rolled. Let X be the random variable representing the sum of the numbers that appear.







a. Construct the probability distribution of X for a pair of dice.







b. Find P (X≥ 8).







c. Find P (X≤ 7).







d. Find the probability that X takes an even value.







e. Find P (3 ≤X≤ 10)

On the 3rd quarter examination in Statistics, the population mean was 70 and the population standard deviation was 9. Determine the standard score of a student who got a score of 88 assuming that the scores are normally distributed.


On the 3rd quarter examination in Statistics, the population mean was 70 and the population standard deviation was 9. Determine the standard score of a student who got a score of 88 assuming that the scores are normally distributed.


Patric borrows money from Zanele at a simple discount rate of 9,75% per annum. He must pay him R35 000 in 27 months' time. The amount of money that he receives from Zanele now is


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