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.
By using an online graphing calculator, the overall equation represented by this scenario is plotted in the image attached below.
<h3>How to determine the graph?</h3>
Based on the information provided about this company with respect to its delivery and total number of miles to be covered, we would assign variables as follows:
- Let y represent same-day delivery.
- Let x be the total number of miles.
Next, we would translate the word problem into an algebraic equation by using an inequality:
y > x/2 - 3
Also, we would determine the intercepts as follows:
When x = 0, we have;
y = 0/2 - 3
y = -3.
y-intercept = (0, -3).
For the x-intercept, we have:
When y = 0, we have;
0 = x/2 - 3
x/2 = 3
x = 6.
x-intercept = (6, 0).
By using an online graphing calculator, the overall equation represented by this scenario is plotted in the image attached below.
Read more on inequalities here: brainly.com/question/18898454
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There’s this website you can search on your phone/laptop called Desmos
Answer:
c
Step-by-step explanation: use a calculator
Check means to look over, solve means to figure out,plan means to arrange or gather information and understand means to follow what you are supposed to do