what is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations? (round your answer to four decimal places.)

Question

26-10-2022
Mathematics

Answered

what is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations? (round your answer to four decimal places.)

Answer :

Other Questions

The population of a certain region grew from 19.7 million in 2005 to 22.7 million in 2012. a . find a function of the form p ( t ) = p 0 e k t that mode

1. find the value of each expression. show your work. go step by step and show all work. circle your answer. (a) 1.4^2 (b) 1.4^2 300 = 2(0.5 + 4.5)^2 (c) 1/3 d

The sum of three numbers is 18. the largest number is two more than twice the value of the middle number and the smallest number is four less than the middle nu

Nobody likes paying taxes, but this is not the way to get out of it! it is believed that 17% of all taxpayers intentionally claim some deductions to which they

The temperature at noon at a ski resort is 3 degrees fahrenheit. the temperature drops -8 degrees fahrenheit by midnight. what is the temperature at midnight?

A drug company claims their new flu vaccine cures 92% of patients. what is the probability that in a family of five people who take the vaccine: (a)none of them

Design a carnival game that is of interest to your age group. > Make a detailed drawing/blueprint of the game. You can draw the image by hand and scan It as

In a probability experiment, eric flipped a coin 30 times. the coin landed on heads 20 times. what is the ratio of heads to tails in this experiment? a. 2/1 b.

Taub has a loyalty card good for a 14% discount at her local grocery store. What number should she multiply the prices on the tags by to find the price she woul

In the diagram below, $\angle BAC=24^\circ$ and $AB=AC$. If $\angle ABC=y^\circ$, what is the value of $y$?

Qwshop Qwshop · Answer 1 · 2022-10-30T17:21:57-04:00

The probability that maximum speed differs from the mean value by at most 2.5 standard deviations is 0.8473

Let the required probability that the maximum speed of mopeds differs from the mean speed by 2.5 standard deviations be given by P(U±2.5).

Mean speed U =46.7km/hr

P(46.7±2.5) = (44.2<= X <=49.2)

= P( 44.2<= Z <= 49.2)

= P(44.2 - 46.7/1.75 <= Z <= 49.2- 46.7/1.75)

= P( - 1.4286 <= Z <= 1.4285)

= P(1.4285) - P(-1.4285)

= P(1.43 ) - P(-1.43)

= 0.92364 - 0.07636

= 0.8473

Thus the probability that maximum speed differs from mean value by at most 2.5 standard deviations is 0.8473

the question is incomplete and the full question is "Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of operation, and low cost. Suppose the maximum speed of a moped is normally distributed with a mean value of 46.7 km/h and a standard deviation of 1.75 km/h. Consider randomly selecting a single such moped

What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations? (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question"

problem on mean and standard deviation

brainly.com/question/16030790

#SPJ4