All categories

2 years ago

Brian rolls a fair dice 12 times. How many times would Brian expect to roll a number greater than 4?

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

5 0

Answer:

Numbers greater than 4 are 5 and 6

So we have 2 numbers out of 6 numbers so the probability is equal to 2/6 = 1/3

And 1/3 of 12 is equal to 4

So Brian expect to roll a number greater than 4,

Four times.

You might be interested in

3x-6/x-2<br><br> Show your answer!!

zmey [24]

$\frac{3x - 6}{x - 2} = \frac{3(x-2)}{x-2} = 3$

6 0

3 years ago

A b

kumpel [21]

The constant of proportionality is 4. Also, look at 36, and 9 because you could have just divided it it is not as complicated as you think.

5 0

2 years ago

24% of U.S. adults say they are more likely to make purchases during a sales tax holiday. you randomly select 10 adults. find th

neonofarm [45]

Answer:

a) $p(X= 2) = 0.261$

b) P(x>2) = 0.566

c) P(2<x<5) = 0.334

Step-by-step explanation:

Given 24% of U.S. adults say they are more likely to make purchases during a sales tax holiday

Probability 0f U.S. adults say they are more likely to make purchases during a sales tax holiday (p) = 0.24

n = 10

By using Poisson distribution

mean number of make purchases during a sales tax holiday

λ = np = 10 X 0.24 = 2.4

The probability of getting exactly '2'

The probability $p(X= 2) = e^{-\alpha } \frac{\alpha^r }{r! }$

$p(X= 2) = e^{2.4 } \frac{\(2.4)^2 }{2! }$

$p(X= 2) = e^{2.4 } \frac{\(2.4)^2 }{2! }= 0.261$

b) The probability of getting more than '2'

$P(X>2) = 1- {p(x=0)+p(x=1)+p(x=2)}$

$= e^{-2.4 } \frac{(2.4)\^0 }{0! }+ e^{-2.4 } \frac{(2.4)\^1 }{1!}+e^{-2.4 } \frac{(2.4)\^2 }{2!}$

= 0.090 + 0.2177+0.261 = 0.566

P(x>2) = 0.566

c) The probability of getting between two and five

P( 2<x<5) = P(x=3)+p(x=4) = $= e^{-2.4 } \frac{(2.4)\^3 }{3! }+ e^{-2.4 } \frac{(2.4)\^4 }{4!}+$

P(2<x<5) = 0.2090 + 0.125 = 0.334

4 0

3 years ago

Would 3.24 be an integer?

alexgriva [62]

That’s a irrational number

8 0

3 years ago

Nolan rides his bike 63 miles in 270 minutes. What is his average speed in miles per hour?

boyakko [2]

Here, to find the average rate of change, you would simply divide 270 by 63. And when that is done, you would get a long decimal. 4.285714285714286

And since you obviously can't put in such a long decimal as your answer, you would round it instead. Once rounded, you would end up with 4.29 (because the number after 8 is five, which rounds up, which would turn the 8 to 9.)

8 0

3 years ago