Statistics and Probability Answers

A researcher is conducting a survey about the cellphones used by 50 employees. If 𝑋 represents the number of users of Brand X, what are the possible values of 𝑋?

c) A quality-control manager found that 30% of work related problems occurred on Mondays and that 20% occurred in the last hour of a day’s shift. It was also found that 4% of worker-related problems occurred in the last hour of Monday’s shift I. Are the events “problem occurs on Monday” and“ problem occurs in the last hour of the day’s shift” statistically independent? II. What is the probability that a work-related problem occur on any day other then the start of the business week (assume that the Monday’s probability of work-related problem is generalizable for other days of the week), or a work-related problem doesn’t occur on the last hour of Monday’s shift? Assume that the two conditions, given in this part, are independent.  

a) A girl can take 3 books from her school library and there are 10 books of her interest in the library. Of these 10, she does not want to borrow Mechanics Part II, unless she borrows Mechanics Part I. In how many ways can she choose the 3 books to be borrowed? b) The number of ways in which letters of the word PARENT can be arranged so that R is always next to A is-------. c) From 4 boys and 8 girls, the number of ways can 6 be chosen, (i) to include only one boy. (ii) to include at least one boy. d) The number of numbers that can be formed with the digits 7, 6, 9, 8, 9, 6, 7 so that the odd digits always occupy the odd places ---------. e) A bag contains 2 white marbles, 3 black marbles and 4 red marbles. In how many ways can 3 marbles be drawn from the box if at least one black marble is to be included in the draw? 

convert the raw score of 30 and 48 to a z-score

Consider the simple problem of placing four coloured balls: red, blue, green and white in 15

boxes. What are the numbers of distinct ways in which the balls can be placed in these

boxes, if each box can hold only one ball? Also write the generalized formula of this

numerical result.

convert the raw score of 50 to a z-score

The 95% confidence interval for the variance and standard deviation for the sugar content in an ice cream (in mg) if the sample of nine servings has a variance of 36. Explain the steps

The height (in cm) of students measured at the time of registration. Make the frequency distribution with class interval size of 5. Find the midpoint, relative frequency and also find Histogram to the following data. (i-e 86 – 90 etc)  

 89, 88, 87, 89, 91, 87, 92, 90, 98, 95, 97, 96, 100, 101, 96,

98, 99, 98, 100, 102, 99, 101, 105, 103, 107, 105, 106, 107, 112

3. Find the probability that a random sample of 12 senior high school students spends more than 24 hours.