Mathematics, 17.05.2021 14:00, Willywill15

During a single day at radio station WMZH, the probability that a particular song is played is 76%. What is the probability that this song will be played on exactly 2 days
out of 6 days? Round your answer to the nearest thousandth.

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answered: ari9843

0.029 = 2.9% probability that this song will be played on exactly 2 days out of 6 days.

Step-by-step explanation:

For each day, there are only two possible outcomes. Either the song is played, or it is not. The probability of the song being played on a day is independent of any other day. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

76% probability the song is played on a given day:

This means that p = 0.76

6 days:

This means that n = 6

What is the probability that this song will be played on exactly 2 days?

This is P(X = 2). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{6,2}.(0.76)^{2}.(0.24)^{4} = 0.029$

0.029 = 2.9% probability that this song will be played on exactly 2 days out of 6 days.

answered: Guest

answer set (b) 0.5, 3/4 80% is in order from least to greatest.

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form. typically, the best form in which to evaluate rational numbers is in decimals. in order to convert a percent to a decimal, you would divide the given percentage by 100. you can also accomplish the conversion by moving the decimal point over two places to the left. for example, the decimal value of 80% is 80/100, or 0.8. in order to convert a fraction to a decimal, you need to divide the numerator by the denominator. for example, 3/4 is 0.75. so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.

answered: Guest

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies