The image is basically the question. I am in the middle of this test plz help!

Find the indicated probabilities using the geometric distribution, Poisson distribution, or the binomial distribution. The mean

ExtremeBDS [4]

Answer:

0.1606 = 16.06% probability that the number of births in any given minute is exactly five.

Step-by-step explanation:

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 interval.

In this question:

We only have the mean during an interval, and this is why we use the Poisson distribution.

The mean number of births per minute in a given country in a recent year was about 6.

This means that $\mu = 6$

Find the probability that the number of births in any given minute is exactly five.

This is P(X = 5). So

$P(X = 5) = \frac{e^{-6}*6^{5}}{(5)!} = 0.1606$

0.1606 = 16.06% probability that the number of births in any given minute is exactly five.

8 0

2 years ago

Answer asap!!!!!!!!!!!!!!!!!!!

Sever21 [200]

Answer:

Step-by-step explanation:

This is a reflection over x-axis.

7 0

3 years ago

PLZ HELP ASAP!!! Will give brainliest if answered correctly with explanation!!!

slavikrds [6]

Answer: Given.

Step-by-step explanation: The last sentence of the directions, Begin. . .

ends with: Construct line RS a bisector of ∠PQR

6 0

3 years ago

What is the range of the function pictured below?

zhenek [66]

Answer:

0 ≤y ≤ 60

Step-by-step explanation:

The range is values the y can take

y goes from 0 to 60

10 ≤y ≤ 60

3 0

3 years ago

Assume that females have pulse rates that are normally distributed with a mean of u = 75.0 beats per minute and a standard devia

Elan Coil [88]

Answer:

36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

$\mu = 75, \sigma = 12.5$