Multiply: 6,415x5 A 32,055 B 31,975 C 32,075 D 30,075

Lost-time accidents occur in a company at a mean rate of 0.40.4 per day. What is the probability that the number of lost-time ac

o-na [289]

Answer:

1.32% probability that the number of lost-time accidents occurring over a period of 88 days will be no more than 22.

Step-by-step explanation:

To solve this question, i am going to approximate the Poisson distribution to the normal to solve this question.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval. The variance is the same as the mean.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The poisson distribution can be approximated to the normal with mean $\mu$ and standard deviation $\sigma = \sqrt{\mu}$

In this problem, we have that:

88 days

0.4 accidents per day

$\mu = 88*0.4 = 35.2$

$\sigma = \sqrt{35.2} = 5.933$

Probability of no more than 22 accidents:

pvalue of Z when X = 22. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{22 - 35.2}{5.933}$

$Z = -2.22$

$Z = -2.22$ has a pvalue of 0.0132

1.32% probability that the number of lost-time accidents occurring over a period of 88 days will be no more than 22.

8 0

4 years ago

Gotta need answers fast like asap, it’s geometry, just fill the blanks pls

pentagon [3]

Two or more triangles are said to be congruent if and only if they have equal lengths of sides and equal measures of angles.

Thus, the required proof is as shown below:

STATEMENTS REASONS

1. ΔABC and ΔDEC with AB ≅ DE;

BC ≅ EC; <1 ≅ <2 Given

2. <1 and < ABC; < 2 and <DEC are sup Sum of angles on a straight line

3. <ABC ≅ <DEC Congruent angles of similar triangles

4. ∴ΔABC ≅ ΔDEC Side-Angle-Side (SAS) postulate

5. ∴<ACB ≅ <DCE CPCTC postulate

For more clarifications on the properties of congruent triangles, visit: brainly.com/question/1675117

#SPJ1

4 0

2 years ago

Earnings per hour and greatest hourly rate

horrorfan [7]

This can be solved by using a simple algebraic equation.

For example, in the first column, Caleb worked 5 hours. We do not know how much he makes per hour, so let that be x. He earned a total of $36.25, so the equation can be written as 5x=36.25.

Divide by 5 on both sides, and you get x= 7.25

He earns $7.25 per hour of work.

Repeat this for all the workers:

Jeremy: 7.5x=65.25

x= $8.70

Maria: 4.25x=34.00

x= $8

Rosa: 8x=54.00

x= $6.75

Jeremy has the greatest hourly rate

5 0

4 years ago

Read 2 more answers

Find all x-intercepts and y-intercepts of the graph of the function . f(x) = - x ^ 3 + x ^ 2 + 12x If there is more than one ans

ololo11 [35]

Answer:

The y-intercept is (0,0)

The x-intercepts are (-3,0), (0,0), and (4,0)

Step-by-step explanation:

So we have the function:

$f(x)=-x^3+x^2+12x$

And we want to solve for the x- and y-intercepts.

Y)

To solve for the y-intercept, recall that the y-intercept is when the graph touches the y-axis. At that point, the x values is 0. Thus, to find the x-intercept, substitute 0 for x:

$f(x)=-(0)^3+(0)^2+12(0)$