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

99 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)

Math Question: Given the parabola function 𝑦 = 3𝑥², determine the vertex, axis of symmetry, direction of opening, and whether the parabola opens upwards or downwards.

What is the resultant displacement when a car travels 80 km east, followed by a 120 km north? (

Math question: What is the factored form of the quadratic equation x² + 7x + 10?

New questions in Mathematics

Add. 7/w²+18w+81 + 1/w²-81

calculate the following vector based on its base vectors a= -18i,26j

Imagine that you are in an electronics store and you want to calculate the final price of a product after applying a discount. The product you are interested in has an original price of $1000 MN, but, for today, the store offers a 25% discount on all its products. Develop an algorithm that allows you to calculate the final price you will pay, but first point out the elements.

Consider numbers from 1 to 2023. We delete 3 consecutive numbers so, that the avarage of the left numbers is a whole number

The data set (75, 85, 58, 72, 70, 75) is a random sample from the normal distribution No(µ, σ). Determine a 95% two-sided confidence interval for the mean µ .

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.

(2x+5)^3+(x-3)(x+3)

"If three wolves catch three rabbits in three hours, how many wolves would it take to catch a hundred rabbits in a hundred hours?" The answer is the number of response units.

The actual length of an object is 1.3 m . If the blueprint uses a scale of 1 : 12 , what is the length of the line on the drawing?