What is least 1.11, 0.111,1.01,1.001

On average, Tanner has noticed that 22 trains pass by his house daily (24 hours) on the nearby train tracks. What is the probabi

blondinia [14]

Answer:

0.11069

Step-by-step explanation:

We will assume that the trains pass by his house following a uniform distribution with values between 0 and 24. The probability of a train passing on a 9-hour time period is 9/24 = 3/8 = 0.375. Lets call Y the amount of trains passing by his house during that 9-hour period. Y follows a Binomail distribution with parameters 22 and 0.375.

P(Y ≤ 5) = P(Y = 0) + P(Y=1) + P(Y=2) + P(Y=3) + P(Y=4) + P(Y=5) =

${22 \choose 0} * 0.375^0*(1-0.375)^{22} + {22 \choose 1}*0.375^1*(1-0.375)^{21} +\\\\{22 \choose 2} * 0.375^2*(1-0.375)^{20} + {22 \choose 3}*0.375^3*(1-0.375)^{19} + \\{22 \choose 4} * 0.375^4*(1-0.375)^{18} + {22 \choose 5}*0.375^5*(1-0.375)^{17} = 0.11069$

I hope that works for you!

4 0

3 years ago

A base ball diamond is square.The distance from home plate to first base is 90 feet.what is the distance from home plate to seco

Elena-2011 [213]

Because it is square, the distance from home to first base is the same as first base to second base.

Home to First is one side of a right triangle, first to second is the second side of the right triangle and then home to second base would be the hypotenuse of a right triangle.

Using the Pythagorean Theorem we can solve for the hypotenuse:

Let C = the hypotenuse:

90^2 + 90^2 = c^2

8100 + 8100 = c^2

16200 = c^2

c = √16200

c = 127.279 feet, round to 127 feet.

7 0

3 years ago

A gaming console that is $300 plus 8% tax. What is the final cost of the console? (Round to the nearest cent)

Gekata [30.6K]

Correct Answer: $324.00

8 0

3 years ago

Read 2 more answers

What is the slope of this line? 1/4 4 -4 -1/4

Burka [1]

Answer:

1st option

Step-by-step explanation:

Take two points on the line (-4, 5) and (8,8)

$slope = \frac{8 - 5}{8 + 4}$

$= \frac{3}{12}$

$= \frac{1}{4}$

8 0

3 years ago

The distribution of certain test scores is a nonstandard normal distribution with a mean of 50 and a standard deviation of 6. Wh

love history [14]

Answer:

Mean value is 0 and standard deviation is 1 after all test scores have been standardized by converting them to z-scores using z

Step-by-step explanation:

In a standard normal distribution (also called as Gaussian distribution) all values of the sample can be projected to a normal distribution with mean 0 and standard deviation 1 using their z-scores.

z-score of a value X can be calculated as follows:

z= $\frac{X-50}{6}$ where

50 is the mean of the test scores
6 is the standard deviation of test scores

6 0

4 years ago