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mixer [17]
3 years ago
6

A manager at a local company asked his employees how many times they had given blood in the last year. The results of the survey

are given below. The random variable x represents the number of times a person gave blood and​ P(x) represents the probability of selecting an employee who had given blood that many times. What is the standard deviation for the number of times a person gave blood based on this​ survey? Round to the nearest hundredth. x 0 1 2 3 4 5 6 ​P(x) 0.30 0.25 0.20 0.12 0.07 0.04 0.02
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
8 0

Answer:

Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54

Step-by-step explanation:

For this case we have the following distribution given:

X        0         1       2       3       4         5        6

P(X)  0.3   0.25   0.2   0.12   0.07   0.04   0.02

For this case we need to find first the expected value given by:

E(X) = \sum_{i=1}^n X_i P(X_I)

And replacing we got:

E(X)= 0*0.3 +1*0.25 +2*0.2 +3*0.12 +4*0.07+ 5*0.04 +6*0.02=1.61

Now we can find the second moment given by:

E(X^2) =\sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2)= 0^2*0.3 +1^2*0.25 +2^2*0.2 +3^2*0.12 +4^2*0.07+ 5^2*0.04 +6^2*0.02=4.97

And the variance would be given by:

Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54

 

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Independent - Size/Type of pizza

Dependent - The cost of pizza
6 0
3 years ago
Madelyn hikes 190.5 meters up a mountain. If she is 62% of the way up, how tall is the mountain?
ira [324]

Answer:

307 Meters

Step-by-step explanation:

\frac{62}{100} = 190.5\\
Cross multiply:

62w = 100(190.5)

Multiply 100 by 190.5:

62w = 19,050

Solve for w:

Divide both sides by 19,050 to isolate the variable and get the answer

19,050/62 = 307.25.....

~ After rounding to the nearest percent, the answer is 307

8 0
2 years ago
So i have 136 sq units in surface area of a rectangle how do i get 136 <br> plz helps as so you can
Savatey [412]

Answer:

well you answered the question in your question: you have Area = 136 square units. How you got it, you need to be more specific. Maybe it's because the side lengths are 2 * 68 for example. If anything provide more info. tried to help the best I can

Step-by-step explanation:

5 0
3 years ago
Select the instances in which the variable described is binomial.1) A coin flip has two outcomes: heads or tails. The probabilit
Dmitriy789 [7]

Answer: 2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.

• 3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.

• 4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes

Step-by-step explanation:

The binomial distribution simply means the probability of success or failure in an experiment. The instances in which the variable described is binomial are given below:

• 2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.

• 3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.

• 4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes.

Option 1 isn't binomial since the number of trails that are given isn't fixed. Option 5 isn't binomial as well

Therefore, the correct options are 2,3 and 4.

3 0
3 years ago
Martin won first place in the 100-meter dash with a time of 14 23/100 seconds.Samuel came in second place with a time of 15 7/10
ohaa [14]

Answer: The answer is 47th of 100 of a second.


Step-by-step explanation:  Given that in the 100-metre dash, Martin won first place by taking a time of

M_t=14\dfrac{23}{100}=\dfrac{1423}{100}~\textup{seconds}.

And, Samuel came second by taking time of

S_t=15\dfrac{7}{10}=\dfrac{157}{10}~\textup{seconds}.

The difference between the time of arrival of Martin and Samuel is given by

t=S_t-M_t=\dfrac{157}{100}-\dfrac{1423}{100}=\dfrac{47}{100}.

Thus, Martin beat Samuel by forty seven - hundredth of a second.



8 0
3 years ago
Read 2 more answers
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