Answer:
60%
Step-by-step explanation:
percentage of men in the choir = (4/11) x 100 = 36.4%
percentage of women in the choir = (7/11) x 100 = 63.6%
Percentage of men in the choir that prefer classical songs = 36.4 x0.25 = 9.1%
Percentage of women in the choir that prefer classical songs = 0.8 x 63.6% = 50.9%
percentage of the choir prefer classical songs = 50.9% + 9.1% = 60%
Answer:
The probability that a randomly selected call time will be less than 30 seconds is 0.7443.
Step-by-step explanation:
We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.
Let X = caller times at a customer service center
The probability distribution (pdf) of the exponential distribution is given by;

Here,
= exponential parameter
Now, the mean of the exponential distribution is given by;
Mean =
So,
⇒
SO, X ~ Exp(
)
To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;
; x > 0
Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)
P(X < 30) =
= 1 - 0.2557
= 0.7443
<span>MCAS Open-Response Questions & Answers. Mathematics – Middle School Level. Wachusett Regional School District. 1. Rev. April 2003 srm. Question #1 ..... If the grocer uses the same number of 5kg bags as. 2kg bags, how many bags did he use in all? Answer #16 x = total number of bags. 5(1/2x) + 2(1/2 x) = 252.</span><span>
</span>
Step-by-step explanation:
z= 21/12
divide bothside by 12
shekinan