The same as last time
Step-by-step explanation:
Answer:
squares in Step n. f (n) = 8 + 3(n – 1} for n > 1 /(1) = 8, /{n2) = 3+f (n – 1) for n > 2 01)= 8, 7 (n) = 8= ƒ(n=1) forn> 2 Df1)= 3 -8 (n- 1) forn > 1 Of (n) - 37 + 5 for n > 1 32+5 for n>1 CS (n) 3+ an forn 1
Step-by-step explanation:
Answer:
Tobias did best on the aptitude test.
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
For Emilio
Emilio got a score of 76; this version has a mean of 70.6 and a standard deviation of 9.
z = (x-μ)/σ
z = 76 - 70.6/9
z = 0.6
For Alissa
Alissa got a score of 298.8; this version has a mean of 282 and a standard deviation of 24.
z = (x-μ)/σ
z = 298.8 - 282/24
z = 0.7
For Tobias
Tobias got a score of 8.04; this version has a mean of 7.2 and a standard deviation of 0.4.
z = (x-μ)/σ
z = 8.04 - 7.2/0.4
z = 2.1
Looking at the calculated z score above, we can see that Tobias did better on his aptitude test because he had a higher z score compared to Emilio and Alissa.
Answer:
a) The probability that exactly 41 of the murders were cleared is 0.0013
b) The probability that between 36 and 38 of the murders, inclusive, were cleared is 0.0809.
c) Yes, it would be unusual
Step-by-step explanation:
Let p=62% considered as the probability of having a commited that is cleared by arres or exceptional means. We assume that choosing each of the 50 commited is independent of each choose. Then, let X be the number of cleared. In this case, X is distributed as a binomial random variable. Recall that, in this case,
for
, with p=0.62
a) We have that
b) We are asked for the following
(The specific calculation is omitted.
c) We will check for the following probability 
Given that the probability of this event is really close to 0, it would be unusual if less than 19 murders are cleared.
