Answer:
According to the proble, the total number of goals are 1+11+15+23 = 50: 1 by the goalkeeper, 11 by defense, 15 by midfielders and 23 by strikers.
So, each probability can be found by using standard probabilities

<h3>(a) Defense</h3>

Therefore, the defense has a probability of 22% of score that goal.
<h3>(b) Midfielders</h3>

Therefore, midfielders have a probability of 30% of scoring that goal.
<h3>(c) Strikers.</h3>

Therefore, strikers have a probability of 46% of scoring that goal.
Answer:
The correct option is D.) Causation cannot be determined from an observational study.
Step-by-step explanation:
The conclusion is not correct because
D.) Causation cannot be determined from an observational study.
Causation determined from an observational study is speculative and cannot be confirmed without data from a real experiment.
Answer:
The probability of a selection of 50 pages will contain no errors is 0.368
The probability that the selection of the random pages will contain at least two errors is 0.2644
Step-by-step explanation:
From the information given:
Let q represent the no of typographical errors.
Suppose that there are exactly 10 such errors randomly located on a textbook of 500 pages. Let
be the random variable that follows a Poisson distribution, then mean 
and the mean that the random selection of 50 pages will contain no error is 
∴

Pr(q =0) = 0.368
The probability of a selection of 50 pages will contain no errors is 0.368
The probability that 50 randomly page contains at least 2 errors is computed as follows:
P(X ≥ 2) = 1 - P( X < 2)
P(X ≥ 2) = 1 - [ P(X = 0) + P (X =1 )] since it is less than 2
![P(X \geq 2) = 1 - [ \dfrac{e^{-1} 1^0}{0!} +\dfrac{e^{-1} 1^1}{1!} ]](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%202%29%20%3D%201%20-%20%5B%20%5Cdfrac%7Be%5E%7B-1%7D%201%5E0%7D%7B0%21%7D%20%2B%5Cdfrac%7Be%5E%7B-1%7D%201%5E1%7D%7B1%21%7D%20%5D)
![P(X \geq 2) = 1 - [0.3678 +0.3678]](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%202%29%20%3D%201%20-%20%5B0.3678%20%2B0.3678%5D)

P(X ≥ 2) = 0.2644
The probability that the selection of the random pages will contain at least two errors is 0.2644
Answer:
A.) The temperature fell in the last minute, but less than it fell in the minute before.
Step-by-step explanation:
Given that for three minutes the temperature of a feverish person has had negative first derivative and positive second derivative.
i.e. it temperature is represented by T, temperature is variable with
first derivative T' <0 and second derivative T">0
i.e. rate of change of temperature is negative or temperature is falling down in 3 minutes.
But the rate of rate of change of temperature was positive i.e. the rate of change of temperature is increasing as time increases.
So correct option would be option A
A.) The temperature fell in the last minute, but less than it fell in the minute before.
Answer:
40,000
Step by step explanation:
8<u>4</u>2,963
8<u>40,000</u>
<u>40,000</u>