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GarryVolchara [31]
2 years ago
14

In a survey of 135 adults, 85 were employed full time and the remainder were employed part time. Of those employed full time, 70

had been to a doctor in the last year. Of those employed part time, 25 had been to a doctor in the last year. Use this information to complete the two-way table. Enter your answer by filling in the boxes to complete the table. Been to a doctor in the last year? Yes No Employed full time Employed part time.
Mathematics
1 answer:
Anastasy [175]2 years ago
8 0
He would have 70 a year if 135 were employed
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A financial talk show host claims to have a 55.3 % success rate in his investment recommendations. You collect some data over th
baherus [9]

Answer:

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

Step-by-step explanation:

For each recommendation, there are only two possible outcomes. Either it was a success, or it was a failure. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

p = 0.553, n = 10

If the claim is correct and the performance of recommendations is independent, what is the probability that you would have observed 4 or fewer successful:

This is

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.553)^{0}.(0.447)^{10} = 0.0003

P(X = 1) = C_{10,1}.(0.553)^{1}.(0.447)^{9} = 0.0039

P(X = 2) = C_{10,2}.(0.553)^{2}.(0.447)^{8} = 0.0219

P(X = 3) = C_{10,3}.(0.553)^{3}.(0.447)^{7} = 0.0724

P(X = 4) = C_{10,4}.(0.553)^{4}.(0.447)^{6} = 0.1567

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0003 + 0.0039 + 0.0219 + 0.0724 + 0.1567 = 0.2552

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

3 0
3 years ago
Please help! On my 2nd attempt again. '-'
lora16 [44]

Answer:

9?

Step-by-step explanation:

just try imputing number until you get the closet to what you need(Don't Take my answer as a fasho I haven't done this in a while

3 0
3 years ago
-3x - 8 + 6x = 7 wat is the answer
Aliun [14]
3x-8+6x=7
9x-8=7
9x=15
x=9/15
x=3/5

7 0
3 years ago
Read 2 more answers
Sandy scored 4 goals and Matt scored 6. How many goals did they score between them?
malfutka [58]

Answer:

4+6=10

Step-by-step explanation:


3 0
2 years ago
What is the area of a triangle with a height of 13 cm and a base of a 10 cm?
Alecsey [184]
Area of a triangle is equal to 1/2 b(h) so since you already have the height and base, all you need to do is input it back into the equation:

\frac{1}{2} (10)(13)


Multiply 10 & 13 to equal 

\frac{1}{2} (130)

Then take half of 130 to get

A = 65 cm^{2}
8 0
3 years ago
Read 2 more answers
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