What sequence begins with the number five and then adds five each time?

Find the indicated probability.

natka813 [3]

Answer:

C) 0.179

Step-by-step explanation:

Since the trials are independent, this is a binomial distribution:

Recall:

Binomial Distribution --> $P(k)={n\choose k}p^kq^{n-k}$
$P(k)$ denotes the probability of $k$ successes in $n$ independent trials
$p^k$ denotes the probability of success on each of $k$ trials
$q^{n-k}$ denotes the probability of failure on the remaining $n-k$ trials
${n\choose k}=\frac{n!}{(n-k)!k!}$ denotes all possible ways to choose $k$ things out of $n$ things

Given:

$n=10$
$k=4$
$p^k=0.53^4$
$q^{n-k}=(1-0.53)^{10-4}=0.47^6$
${n\choose k}={10\choose 4}=\frac{10!}{(10-4)!4!}=210$

Calculate:

$P(4)=(210)(0.53^4)(0.47^6)=0.1786117069\approx0.179$

Therefore, the probability that the archer will get exactly 4 bull's-eyes with 10 arrows in any order is 0.179

7 0

2 years ago

Find the area of each face of the cube whose volume is 729 meter square

natita [175]

Answer:

4.5

Step-by-step explanation:

$6a^2 = The surface area of cube \\\sqrt{729} = 27\\27 / 6 = 4.5$

5 0

3 years ago

The probability of winning the shell games if you randomly pick is 1 in 3. What would be the approximate probability of winning

erastova [34]

Answer:

1 /81

Step-by-step explanation:

1/3 * 1/3 * 1/3 * 1/3 (One for each game) = 1/81

6 0

4 years ago

What is the y intercept

quester [9]

Answer:

-2

Step-by-step explanation:

line crosses the y- coordinate (0,-2)

7 0

3 years ago

100 POINTS Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a

kvv77 [185]

1. a) 0.3174 = 31.74% probability of a defect

1. b) The expected number of defects for a 1,000-unit production run is of 317.

2. a) 0.0026 = 0.26% probability of a defect

2. b) The expected number of defects for a 1,000-unit production run is of 3.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

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

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.

Question 1:

We have that:

a. Calculate the probability of a defect.

Less than 9.88 or greater than 10.12. These probabilities are equal, so we find one and multiply by 2.

Probability of less than 9.88:

This is the pvalue of Z when X = 9.88. So

has a pvalue of 0.1587

2*0.1587 = 0.3174

0.3174 = 31.74% probability of a defect

b. Calculate the expected number of defects for a 1,000-unit production run.

The expected number of defects is 31.74% of 1000. So

0.3174*1000 = 317.4

Rounding to the nearest integer

The expected number of defects for a 1,000-unit production run is of 317.

Question 2:

The mean remains the same, but the standard deviation is now

a. Calculate the probability of a defect.

Less than 9.88 or greater than 10.12. These probabilities are equal, so we find one and multiply by 2.

Probability of less than 9.88:

This is the pvalue of Z when X = 9.88. So

has a pvalue of 0.0013

2*0.0013 = 0.0026

0.0026 = 0.26% probability of a defect

b. Calculate the expected number of defects for a 1,000-unit production run.

The expected number of defects is 31.74% of 1000. So

0.0026*1000 = 2.6

Rounding to the nearest integer

The expected number of defects for a 1,000-unit production run is of 3.

7 0

2 years ago