if a fair coin is tossed 100 times. the distribution of the number of heads is b(100, 0.5). what is the probability that the obtained heads, x, is between 45 and 55? p (45 less or equal than x less or equal than 55 )

Question

19-12-2022
Mathematics

Answered

if a fair coin is tossed 100 times. the distribution of the number of heads is b(100, 0.5). what is the probability that the obtained heads, x, is between 45 and 55? p (45 less or equal than x less or equal than 55 )

Answer :

Other Questions

1.) Roll a fair 8-sided die 10 times. What is the probability of rolling 7 exactly 3 of those 10 times? 2.) What is the expected number of 7 you will get if you

Ruby is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she flips a coin, r

Watch help video Ruby is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if sh

The graph shows the relationship between the number of cubic yards of mulch ordered and the total cost of the mulch delivered. a. What is the constant rate of c

8) The ball used in a soccer game may not weigh more than 16 ounces or less than 14 ounces at the start of the match. After 1.5 ounces of air was added to a bal

POSSIBLE POINTS: 5 Suzie wants her grade in the class to be a B which means her average must be at least an 80 and less than 90. Which inequality represents the

Ahmed asked 28 friends if they had texted (T) or emailed (E) that day. The number who had only texted was the same as the number who had done both. The number w

The width of a rectangle is 8n-6.5 feet and the length is 6.5n+8 feet. Find the perimeter of the rectangle.

Write a formula to find the number of sides in a regular polygon given that the measure of one interior angle is a x°

The following graph shows a proportional relationship. What is the constant proportionality between y and x in the graph?

smecloudbird18 smecloudbird18 · Answer 1 · 2022-12-25T01:04:14-05:00

The probability that obtained heads, x, is between 45 and 55 is 0.6826.

The Binomial distribution provides the precise response. Wolfram Alpha is one of the software tools that may perform the computation for you. Using this method manually is painful.

Maybe you're supposed to use the binomial's normal approximation. If there are X heads, then X has a roughly normal distribution first we have to find what is the mean and standard deviation.

Given that n = 100 is a relatively large number, we will assume a normal distribution.

mean M = n*p 100*0.5 =50

Consequently, Sd = √(npq) = √1000.5*0.5 = 5.

The standard deviation is 5.

Z = x-µ/σ

Z = (x-50)/5

we have to find the probability in this range.

P(45<X<55) = P((45-50)/5<X<(55-50)/5

P(-1<X<1) = 0.8413 - 0.1587

0.6826

To know more about probability here:

https://brainly.com/question/30034780

#SPJ4