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 girl weighs 5/8 as much as her brother does. If the girl weighs 110 lb, how much does her brother weigh?

mamaluj [8]

176 is the brothers weight.

5 0

3 years ago

Read 2 more answers

James is following this recipe to make flapjacks. James uses 600 g of margarine. How many flapjacks is James making? Recipe: Mak

alina1380 [7]

Answer:

75 Flapjacks

Step-by-step explanation:

You must divide 120 by 600 in order to get your answer. As it says 120 margirine to make 15 flapjacks which is equal to one batch, you must then divide 600 by 120 and then multiply 5 by 15 to get 75. I hope this helped.

(brainliest?)

4 0

3 years ago

1/2 : 10 = 2 12 : x<br> What is the value of x

liberstina [14]

I am probably wrong but with the math I do I got 35

6 0

2 years ago