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babunello [35]
3 years ago
13

Products produced by a machine has a 3% defective rate. What is the probability that the first defective occurs in the fifth ite

m inspected?
Mathematics
1 answer:
labwork [276]3 years ago
6 0

Answer: The required probability is 0.1328.

Step-by-step explanation:

Since we have given that

n = 5

Probability of success = p = defective rate = 3% = 0.03

Probability of failure = q = 1-p = 1 - 0.03 = 0.97

So, we will use "Binomial distribution":

probability that the first defective occurs in the fifth item inspected would be

P(X=1)=^5C_1(0.03)^1(0.097)^4\\\\P(X=1)=0.1328

Hence, the required probability is 0.1328.

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The results of an election are shown in the table below.
vazorg [7]

We are given the results of an election:

Candidate Fraction of votes

Johnson = \frac{1}{9}

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Dragovic = \frac{1}{2}

Now, we need to find the difference between the fractions of votes received by Dragovic and Johnson.

Therefore, difference is :

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4 0
3 years ago
A random sample of 10 subjects have weights with a standard deviation of 13.5620 kg. What is the variance of their​ weights? Be
Iteru [2.4K]

Answer:

183.927844 kg²

Step-by-step explanation:

Calculation for the weight variance:

Given that s =13.5620 kg

The Variance will be the square of the Standard Deviation

S²=13.5620 kg²

S²=183.927844

The units of the variance will be the units of the Standard Deviation Squared which is Kg²

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