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The Hawkins Company randomly samples 10 items from every large batch before the batch is packaged and shipped. According to the

agasfer [191]

Answer:

0.9138 = 91.38%

Step-by-step explanation:

For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of other items. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

10 items

This means that $n = 10$

5 percent of the items shipped can be defective.

This means that $p = 0.05$

Probability that a batch that meets the contract requirements will be shipped without further inspection

Probability of 1 or fewer defects.

So

$P(X \leq 1) = P(X = 0) + P(X = 1)$

In which

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

$P(X = 0) = C_{10,0}.(0.05)^{0}.(0.95)^{10} = 0.5987$

$P(X = 1) = C_{10,1}.(0.05)^{1}.(0.95)^{9} = 0.3151$

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5987 + 0.3151 = 0.9138$

So the answer is:

0.9138 = 91.38%

4 0

3 years ago

Read 2 more answers

Is 3n a cubic a quadratic a linear or none of these

lilavasa [31]

Step-by-step explanation:

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Class 10

>>Maths

>>Polynomials

>>Revisiting Polynomials

>>Classify the following as linear, quadra

Question

Bookmark

Classify the following as linear, quadratic and cubic polynomials:

(i) x

2

+x

(ii) x−x

3

(Iii) y+y

2

+4

(iv) 1+x

(v) 3t

(vi) r

2

(vii) 7x

3

Medium

Solution

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(i) The highest degree of x

2

+x is 2, so it is a quadratic polynomials.

(ii) The highest degree of x−x

3

is 3, so it is a cubic polynomials.

(iii)The highest degree of y+y

2

+4 is 2, so it is a quadratic polynomials.

(iv) The highest degree of x in (1+x) is 1, so it is a linear polynomials.

(v)The highest degree of t in 3t is 1, so it is a linear polynomials.

(vi)The highest degree of r

2

is 2, so it is a quadratic polynomials.

(vii)The highest degree of x in 7x

3

is 3, so it is a cubic polynomials.

Video Explanation

7 0

3 years ago

Solve the equation on the interval

alina1380 [7]

Answer:

330

or -30

Step-by-step explanation:

8 0

3 years ago

According to the scale on a map, 1 inch on the map = 12 miles. How many miles are represented by 4 inches on the map?

Juli2301 [7.4K]

Answer:

60 miles

Step-by-step explanation:

So if 1 inch = 12 miles, you need to find 4 inches. There are multiple ways to achieve this. However ratios/proportions might be easiest.

if 1/12 = 4/x, x is the value of miles. Cross multiply so you get this:

1 4

- = - = 60 = x

12 x

If x equals 60, that means that 4 inches equals 60 miles on the map.

You could also just find an equal fraction by multiplying the top and bottom both by 4.

6 0

3 years ago

Complete the input output table for the function y=3^x

egoroff_w [7]

Answer:

Input of x when it is equal to (1,2,3,4,5) gave an output of 3, 9, 27,81 & 243 respectively.

Step-by-step explanation:

Step 1. Substitute for x (1,2,3,4,5) in the functions to solve for the output of y.

y=3^x

when x= 1

y=3¹ = 3

when x= 2

y=3² = 9

when x= 3

y=3³ = 27

when x= 4

y=3⁴ = 81

when x= 5

y=3 ^ 5 = 243.

Input of x when it is equal to (1,2,3,4,5) gave an output of 3, 9, 27,81 & 243 respectively.

6 0

3 years ago