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gregori [183]
3 years ago
11

After attending a church cookout, a number of the attendees are admitted to the emergency room with nausea, vomiting, and diarrh

ea. After discovering all the individuals admitted to the ER consumed the egg salad at the event, the leftover egg salad was tested and found to be positive for salmonella. If 83 individuals consumed the egg salad and 49 individuals were admitted to the ER with salmonella, what was the cumulative incidence of salmonella assuming that the 49 individuals admitted to the ER were the only ones to be affected by the bacteria?
A. 0.410
B. 0.590

C. 0.059

D. 0.041
Mathematics
1 answer:
Helen [10]3 years ago
7 0

Answer:

0.590

Step-by-step explanation:

Cumulative frequency = number of new cases during a particular period / number of individuals at risk = number of people down with salmonella / total number of people present =49 /83 = 0.590

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An example problem in a Statistics textbook asked to find the probability of dying when making a skydiving jump.
MArishka [77]

Answer:

(a) 0.999664

(b) 15052

Step-by-step explanation:

From the given data of recent years,  there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.

So, the probability of death is \frac{21}{3000000}==0.000007.

Assuming, this probability holds true for each skydiving and does not change in the present time.

So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.

Denoting the probability of dying in a single jump by q.

q=7\times 10^{-6}=0.000007.

So, the probability of survive, p=1-q

\Rightarrow p=1-7\times 10^{-6}=0.999993.

(a) The total number of jump he made, n=48

Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is

=\binom(n,r)p^rq^{n-r}

=\binom(48,48)(0.999993)^{48}(0.000007)^{48-48}

=(0.999993)^{48}=0.999664 (approx)

So, the probability of survive in 48 skydiving is 0.999664,

(b) The given probability of surviving =90%=0.9

Let, total n skydiving jumps required to meet the surviving probability of 0.9.

So, By using Bernoulli's equation,

0.9=\binom {n }{r} p^rq^{n-r}

Here, r=n.

\Rightarrow 0.9=\binom{n}{n}p^nq^{n-n}

\Rightarrow 0.9=p^n

\Rightarrow 0.9=(0.999993)^n

\Rightarrow \ln(0.9)=n\ln(0.999993) [ taking \log_e both sides]

\Rightarrow n=\frac {\ln(0.9)}{\ln(0.999993)}

\Rightarrow n=15051.45

The number of diving cant be a fractional value, so bound it to the upper integral value.

Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.

3 0
3 years ago
Which of the following equations represents a graph that decreases?
almond37 [142]
D because it is a decimal (lower than 0)
7 0
3 years ago
The math says expand 5(2-7x) what is the answer
kow [346]

Step-by-step explanation:

in my opinion

5(2- 7x)

5×2 - 5×7x

= 10-35x

8 0
2 years ago
Write a multiplication sentence that shows the zero property of multiplication. Explain why it shows this property.
Aloiza [94]
Okay so the zero property of multiplication is anything times zero equals zero, so just use a number, multiply it times zero, and show what it equals (which is zero) explain that it shows the property because the variable is multiplied times zero.
4 0
3 years ago
Why dint you look at that another question
7nadin3 [17]

Answer:

B. 4

Step-by-step explanation:

36/9=4, since 9*4=36. Therefore, the correct answer is B, 4. Hope this helps!

5 0
3 years ago
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