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DochEvi [55]
2 years ago
7

If the probability of being hospitalized during a year is 0.15 find the probability that no one in the family of 4 will be hospi

talized in a year
Mathematics
1 answer:
Goryan [66]2 years ago
3 0

The probability that no one in the family of 4 will be hospitalized during a year is 0.52

Step-by-step explanation:

The probability for a person to be hospitalized during one year is

p(h)=0.15

As a consequence, the probability for a person of NOT being hospitalized during one year is

p(h^{-1})=1-0.15=0.85

If we have 4 people in the family, the probability of each of them of NOT being hospitalized during the year is independent from the probability of the others - therefore, these are independent events. This means that the total probability of the 4 people of not being hospitalized during a year is:

p(h^{-1})^4=(0.85)^4=0.52

So, the probability that no one in the family of 4 will be hospitalized during a year is 0.52.

Learn more about probability:

brainly.com/question/5751004

brainly.com/question/6649771

brainly.com/question/8799684

brainly.com/question/7888686

#LearnwithBrainly

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The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in t
andreyandreev [35.5K]

Answer:

The test statistic is c. 2.00

The p-value is a. 0.0456

At the 5% level, you b. reject the null hypothesis

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes.

This means that the mean and the alternate hypothesis are:

Null: H_{0} = 3

Alternate: H_{a} = 3

The test-statistic is given by:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

Sample of 100 customers.

This means that n = 100

3 tested at the null hypothesis

This means that \mu = 3

The average length of time it took the customers in the sample to check out was 3.1 minutes.

This means that X = 3.1

The population standard deviation is known at 0.5 minutes.

This means that \sigma = 0.5

Value of the test-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}

z = 2

The test statistic is z = 2.

The p-value is

Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.

z = 2 has a pvalue of 0.9772

2*(1 - 0.9772) = 2*0.0228 = 0.0456

At the 5% level

0.0456 < 0.05, which means that the null hypothesis is rejected.

7 0
3 years ago
The probability that Latisha orders french fries at lunch is .32 and the probability that she orders a grilled cheese and fries
EastWind [94]

There is a typo error in the last part of the question. The corrected part is-

"If the probability that she orders just a grilled cheese sandwich is .76, what is the probability that she will order a grilled cheese or fries?"

Answer:

The probability that she will order a grilled cheese sandwich or fries is <u>0.43.</u>

Step-by-step explanation:

Given:

Probability of ordering fries is, P(F)=0.32

Probability of ordering cheese sandwich is, P(S)=0.76

Probability of ordering both sandwich and fries is, P(F\cap S)=0.65

Probability of ordering cheese sandwich or fries is given by the union of both the events 'F' and 'S' given as P(F\cup S).

Now, using addition theorem of probability, we get:

P(F\cup S)=P(F)+P(S)-P(F\cap S)\\P(F\cup S)=0.32+0.76-0.65\\P(F\cup S)=0.43

Therefore, probability of ordering cheese sandwich or fries is 0.43.

8 0
3 years ago
Someone please help
OLEGan [10]

Answer:

e= -2

Step-by-step explanation:

1) distribute so you get 6+0.75e=2-1.25e

2) move the variable to one side so you get 6+2e=2

3) subtract the 6: 2e=-4

4) divide by 2: e= -2

4 0
3 years ago
Find the measures of the angles in each triangle <br> 2xº<br> 3x°<br> xº
snow_lady [41]

Answer:

x = 30°

The angles:

  • 2x° = 60°
  • 3x° = 90°
  • x° = 30°

Step-by-step explanation:

Hello!

The sum of all the angles in a triangle is 180°. So we can set up an equation for this question.

Solve the equation:

  • 2x° + 3x° + x° = 180°
  • 6x° = 180°
  • x° = 30°

We can replace 30° for all the angles.

The measures are:

  • 2(30°) = 60°
  • 3(30°) = 90°
  • 1(30°) = 30°

4 0
2 years ago
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(7)/((12)/(.14))=(50x)/(4.8)
umka2103 [35]

Answer:

x=0.00784

Step-by-step explanation:

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2 years ago
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