marks and standard deviation of 20 marks.
The marks of 800 candidates in an examination were normally distributed with a mean of 45...
The marks obtained in statistics in a certain examination are found to be normally distributed. If 15% of the candidates got greater than or equal 80 marks and 40% of candidates got less than 50 marks, find the mean and standard deviation of marks.
3. (a) Outline four (4) characteristics of the normal distribution. b. The marks scored by the candidates in an examination are normally distributed with mean 54 and standard deviation 16 marks. If the top 12% of the candidates obtained distinction and the bottom 15% failed estimate correct to 2 significant figures: 1) the pass mark (ii) the least mark for distinction (C) Suppose that one in five customers buy product Y. If four customers are chosen at random: what is...
The marks obtained by the students at an examination are found to be normally distributed with u = 6565 and o = 6. If a random sample of 100 students is taken, what is the probability that the mean marks will be between 65 and 66?
The marks on the Math 1080 Unit 2 test were normally distributed with a mean of 76.2% and a standard deviation of 7.32%. What is the score of a test that is 1.31 standard deviations above the mean? Question 2 options: a) -66.61% b) 85.79% c) 87.09% d) 66.61%
A local university administers a comprehensive examination to the candidates for B.S. degrees in Business Administration. Five examinations are selected at random and scored. The scores are shown below. Scores 80 90 91 62 77 a. b. Compute the mean and the standard deviation of the sample. Compute the margin of error at 95% confidence. Assume the population is normally distributed. Develop a 95% confidence interval estimate for the mean of the population. c.
The scores on an economics examination are normally distributed with a mean of 74 and a standard deviation of 12. If the instructor assigns a grade of A to 13% of the class, what is the lowest score a student may have and still obtain an A?
The scores on a psychology exam were normally distributed with mean of 55 and a standard deviation of 5. A failing grade on the exam was anything 2 or more standard deviations below the mean. What was the cutoff for a failing score? Approximately what percentage of the students failed? The cutoff for a failing score was 45. (Simplify your answer.) Approximately percent of the students failed. (Round to one decimal place as needed.)
College students annual earnings are normally distributed with standard deviation σ-$800. If the mean earning for gro construct a 95% confidence interval estimate of the mean annual earnings for all college students. 10. up of 64 students is $4000,
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value a. between 28 and 34 b. between 20 and 35 6.34 Let x be a continuous random variable that has a normal distribution with a mean of 30 and a stan- dard deviation of 2. Find the probability that x assumes a value a. between 29 and 35 b....
The marks in a university statistics course are normally distributed with a mean of 68% and a standard deviation of 6%. Sketch the normal distribution for the course. Label the scale on the horizontal axis. Calculate the z-score for a student with a mark of 79%, and explain what it means. Calculate the probabilities for a student to have the following grades: (i) Greater than 60% (ii) Between 70% and 80% 2. The mid tirm grades had a...