Question

a) Statistics scores are normally distributed with the mean of 75 and standard deviation of 7. What is the probability that a student scores between 80 and 88

155

likes
776 views

Answer to a math question a) Statistics scores are normally distributed with the mean of 75 and standard deviation of 7. What is the probability that a student scores between 80 and 88

Expert avatar
Timmothy
4.8
45 Answers
\mu=75,\sigma=7 calculate z-scores for 80 and 88 as z_1=\frac{80-\mu}{\sigma}=\frac{80-75}{7}\approx0.7143 z_2=\frac{88-\mu}{\sigma}=\frac{88-75}{7}\approx1.8571 refer to any z-score calculator or table to get P(0.7143 < Z < 1.8571) = 0.2059 approx required probability = 0.2059

Frequently asked questions (FAQs)
What is the exponential equation of a logarithmic function with a horizontal asymptote at y = 2, a vertical asymptote at x = 3, and passes through the point (5, 4)?
+
What is the probability of getting exactly 4 successful outcomes in 10 trials with a success rate of 0.6?
+
What are the vector components of a unit vector that makes an angle of 45 degrees with the positive x-axis?
+
New questions in Mathematics
5 squirrels were found to have an average weight of 9.3 ounces with a sample standard deviation is 1.1. Find the 95% confidence interval of the true mean weight
Let X be a discrete random variable with range {1, 3, 5} and whose probability function is f(x) = P(X = x). If it is known that P(X = 1) = 0.1 and P(X = 3) = 0.3. What is the value of P(X = 5)?
Derivative of x squared
Serum cholesterol levels in men aged 18 to 24 years have a normal distribution with a mean 178.1mg/100 ml and standard deviation 40.7 mg/100 ml. The. Randomly choosing a man between 18 and 24 years old, determine the probability of your serum cholesterol level is less than 200. B. Whether a serum cholesterol level should be judged too high if it is above 7% higher, determine the value of the separation level of levels that are too high. w. Determine a 90% reference range for serum cholesterol level among men from 18 to 24 years old.
Prove that it is not possible to arrange the integers 1 to 240 in a table with 15 rows and 16 columns in such a way that the sum of the numbers in each of the columns is the same.
Find 2 numbers whose sum is 47 and whose subtraction is 13
Shows two blocks, masses 4.3 kg and 5.4 kg, being pushed across a frictionless surface by a 22.5-N horizontal force applied to the 4.3-kg block. A. What is the acceleration of the blocks? B. What is the force of the 4.3-kg block on the 5.4 -kg block? C. What is the force of the 5.4 -kg block on the 4.3 -kg block?
What is 75 percent less than 60
Express the trigonometric form of the complex z = -1 + i.
Determine a general formula​ (or formulas) for the solution to the following equation.​ Then, determine the specific solutions​ (if any) on the interval [0,2π). cos30=0
36 cars of the same model that were sold in a dealership, and the number of days that each one remained in the dealership yard before being sold is determined. The sample average is 9.75 days, with a sample standard deviation of 2, 39 days. Construct a 95% confidence interval for the population mean number of days that a car remains on the dealership's forecourt
solid obtained by rotation around the axis x = -1, the region delimited by x^2 - x + y = 0 and the abscissa axis
Find the equation of a straight line that has slope 3 and passes through the point of (1, 7) . Write the equation of the line in general forms
Find the set of points formed by the expression 𝜋<|𝑧−4+2𝑖|<3𝜋.
Select a variable and collect at least 50 data values. For example, you may ask the students in the college how many hours they study per week or how old they are, etc. a. Explain what your target population was. b. State how the sample was selected. c. Summarise the data by using a frequency table. d. Calculate all the descriptive measures for the data and describe the data set using the measures. e. Present the data in an appropriate way. f. Write a paragraph summarizing the data.
Determine the general solution of the equation y′+y=e−x .
Triangle ABC has AB=AC and angle BAC =X, with X being less than 60 degrees. Point D lies on AB such that CB = CD Point E lies on AC such that CE= DE Determine angle DEC in terms of X
An export company grants a bonus of $100,000 pesos to distribute among three of its best employees, so that the first receives double the second and the latter receives triple the third. How much did each person receive?
15=5(x+3)
Matilde knows that, when driving her car from her office to her apartment, she spends a normal time of x minutes. In the last week, you have noticed that when driving at 50 mph (miles per hour), you arrive home 4 minutes earlier than normal, and when driving at 40 mph, you arrive home 5 minutes earlier later than normal. If the distance between your office and your apartment is y miles, calculate x + y.