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hram777 [196]
3 years ago
9

a battery company manufactures batteries having life spans that are normally distributed, with a mean of 45 months and a standar

d deviations of 5 months. find the probability that a battery chosen at random will have each life span. a. 48-50 months b. 45-52 months
Mathematics
2 answers:
RSB [31]3 years ago
6 0
A is the correct answer
stepladder [879]3 years ago
4 0
I'd say (A) is the correct answer
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Suppose that 37% of college students own cats. If you were to ask random college students if they own a cat what would the proba
Likurg_2 [28]

Using the binomial distribution, the probabilities are given as follows:

a) 0.37 = 37%.

b) 0.5065 = 50.65%.

c) 0.3260 = 32.60%.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

For this problem, the fixed parameter is:

p = 0.37.

Item a:

The probability is P(X = 1) when n = 1, hence:

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

P(X = 1) = C_{1,1}.(0.37)^{1}.(0.63)^{0} = 0.37

Item b:

The probability is P(X = 3) when n = 3, hence:

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

P(X = 3) = C_{3,3}.(0.37)^{3}.(0.63)^{0} = 0.5065

Item c:

The probability is P(X = 2) when n = 4, hence:

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

P(X = 2) = C_{4,2}.(0.37)^{2}.(0.63)^{2} = 0.3260

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

4 0
2 years ago
Name the plane that contains points A, D, and E.
Verdich [7]

Answer:

Plane T

Step-by-step explanation:

The given points A, D, and E are shown as being on the plane T as follows

Point a lays on the boundary of the boundary between plane S and plane T

Points D and E are points on a line DE that is on the plane T

Therefore, given that the line DE and the point A all lay on the same plane T, the plane that contains points A, D, and E, is plane T.

6 0
3 years ago
Cual es el numero que hace falta en la sucesión de 0,2,6,22_,114,202
Romashka-Z-Leto [24]

Answer:

86

Step-by-step explanation:

<h3>22+2²=22+64=86</h3>
6 0
3 years ago
What is the probability of rolling a die and having it land on a factor of 30?
Daniel [21]

Answer:

So, since there is an equal chance to roll any number on a six sided die, that means the chance of rolling any one number is one out of 6 or 1/6. You can see that with a diagram. Now, rolling two different numbers in a specific order you can tell with a diagram is 1/36.

Step-by-step explanation:

8 0
3 years ago
I WILL GIVE CORRECT ANSWER BRAINLIEST!
vesna_86 [32]

Step-by-step explanation:

In Kate's equation, 20 is the total number of tickets, 4 is number of tickets per ride, r is number of rides already ridden, and 4r is the number of tickets used

in Brian's equation, 5 is total number of rides Katie can ride and 5 - r is the number of rides left to ride

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