Ill mark branliest :) ♥♥

H

Keith_Richards [23]

Answer:

3

Step-by-step explanation:

6 0

3 years ago

The probability that a lab specimen contains high levels of contamination is 0.14. A group of 4 independent samples are checked.

Shtirlitz [24]

Answer:

a) 0.5470 = 54.70% probability that none contain high levels of contamination.

b) 0.3562 = 35.62% probability that exactly one contains high levels of contamination.

c) 0.4530 = 45.30% probability that at least one contains high levels of contamination.

Step-by-step explanation:

For each sample, there are only two possible outcomes. Either they contain high levels of contamination, or they do not. The samples are independent. 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.

The probability that a lab specimen contains high levels of contamination is 0.14.

This means that $p = 0.14$

A group of 4 independent samples are checked.

This means that $n = 4$

(a) What is the probability that none contain high levels of contamination?

This is P(X = 0)

$P(X = 0) = C_{4,0}.(0.14)^{0}.(0.86)^{4} = 0.5470$

0.5470 = 54.70% probability that none contain high levels of contamination.

(b) What is the probability that exactly one contains high levels of contamination?

This is P(X = 1)

$P(X = 1) = C_{4,1}.(0.14)^{1}.(0.86)^{3} = 0.3562$

0.3562 = 35.62% probability that exactly one contains high levels of contamination.

(c) What is the probability that at least one contains high levels of contamination?

Either none of the samples contain high levels of contamination, or at least one does. The sum of the probabilities of these events is decimal 1. So

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

We want to find $P(X \geq 1)$ . So

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.5470 = 0.4530$

0.4530 = 45.30% probability that at least one contains high levels of contamination.

8 0

3 years ago

A store employes 11 women and 12 men. What percentage of employes are men?

Oksanka [162]

2.53 is then answer .... im pretty sure

7 0

3 years ago

Manny observed a Northern Gannet, a deep diving seabird, hovering at a height of 10 meters above the ocean surface. The bird the

mr Goodwill [35]

Answer:

9.2 seconds.

Step-by-step explanation:

We have been given an equation that represents dive of a bird as $y=x^2-10.3x+10$ , where x represents the time the dive lasted in seconds and y represents the height of the bird in meters.

We can see that our given equation is a parabola. The leading coefficient is positive, so our parabola will be an upward opening parabola.

Upon graphing our given equation, we will get our required graph as shown in the attachment.

As x represents the time the dive lasted in seconds and y represents the height of the bird in meters, so the bird will be at the surface when the graph will cross x-axis.

We can see that graph crosses x-axis at $x=1.085\text{ and }x=9.215$ .

Upon rounding to nearest tenth, we will get:

$x\approx 1.1\text{ and }x=9.2$ .

At $x\approx 1.1$ the bird dives in water and goes down the water surface and at $x=9.2$ the bird comes to the surface, therefore, the bird will be at surface after 9.2 seconds.

8 0

3 years ago

Read 2 more answers

A plane pencil and a colored pencil together cost 30 cents The colored pencil cost 10 Cents more then the plane pencil how

Serjik [45]

Answer: the plain pencil costs 10 cents and the colored pencil costs 20 cents

8 0

3 years ago