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horsena [70]
3 years ago
11

In a binomial experiment, if there are two possible outcomes and P(S) = 0.36, what is P(F)?

Mathematics
1 answer:
vampirchik [111]3 years ago
8 0

Answer:

D. 0.64

Step-by-step explanation:

The reason I got this answer is because the problem tells us that there is a success rate of .36, so you would subtract .36 from 1 to get .64. The success rate and failure rate should always be equal to 1.

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$15.44

Step-by-step explanation:

50 - 34.56 = 15.44

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The surface area of two similar solids are 340yd^2 and 1,158yd^2. The volume of the larger solid is 1,712yd^2. What is the volum
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the area of a rectangle hall is the same as the area of a square field of side 56 m. if the lenght of hall is 112m. find its bre
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Step-by-step explanation:

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3 years ago
According to a survey, 18% of the car owners said that they get the maintenance service done on their cars according to the sche
Annette [7]

Answer:

a) For this case we define the random variable X="number of car owners in a random sample of 12 who get the maintenance service done on their cars according to the schedule recommended by the auto company". And for this case the distribution for X is:

X \sim Binom (n =12, p=0.18)

And the possible values for the random variable are X=0,1,2,3,4,5,6,7,8,9,10,11,12

b) Using the probability mass function we got:

P(X=3)=(12C3)(0.18)^3 (1-0.18)^{12-3}=0.21506

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

Solution to the problem

Part a

For this case we define the random variable X="number of car owners in a random sample of 12 who get the maintenance service done on their cars according to the schedule recommended by the auto company". And for this case the distribution for X is:

X \sim Binom (n =12, p=0.18)

And the possible values for the random variable are X=0,1,2,3,4,5,6,7,8,9,10,11,12

Part b

Find to 3 decimal places the probability that exactly 3 car owners in a random sample of 12 get the maintenance service done on their cars according to the schedule recommended by the auto company.

Using the probability mass function we got:

P(X=3)=(12C3)(0.18)^3 (1-0.18)^{12-3}=0.21506

6 0
3 years ago
I’ll really appreciate it if you help me out on this one , im currently failing this class please help
Arisa [49]
This is infinity solutions -
33x-33+99=33x-33-99
99=-99
Since 99 __equal -99 the equation has many solutions
3 0
3 years ago
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