Answer:
(a) 1/3
(b) 1/15
Step-by-step explanation:
(a)Let X denote the waiting time in minutes. It is given that X follows a uniform distribution, and since the variable being measured is time, we assume it to be a continuous uniform distribution.
![\[f_X(x) =\begin{cases} \frac{1}{30} & 0\leqx\leq 30\\ 0 & otherwise \end{cases}\]](https://tex.z-dn.net/?f=%20%5C%5Bf_X%28x%29%20%3D%5Cbegin%7Bcases%7D%20%5Cfrac%7B1%7D%7B30%7D%20%26%200%5Cleqx%5Cleq%2030%5C%5C%200%20%26%20otherwise%20%5Cend%7Bcases%7D%5C%5D)
Now
.
Jack or Rose arriving first is equally likely, therefore the probability of Jack waiting is just the half of the above obtained probability i.e 
(b)Using the formula for the expectation of a uniform continuous distribution,

Remember that the y-intercept is where the function has a value of
and the x-intercept is where the function has a value of
. Thus, to find the x-intercept and y-intercept, we can substitute these values into the equation and solve for the other variable.
<u>x-intercept</u>
Since the x-intecept has a y-value of 0, we can substitute this into the function and solve for
.



The x-value of the x-intercept is
and the y-value is 0, meaning that the x-intercept has coordinates
.
<u>y-intercept</u>
Since the y-intercept has a x-value of 0, we can substitute this into the equation and solve for
:


The y-value of the y-intercept is -3, meaning that the y-intercept of the function is
.
Answer:
35.9
Step-by-step explanation:
Answer:
The cheerios are more expensive per ounce
Step-by-step explanation:
6. 22 ounce box of Cheerios cost $2.79---$0.45
A 32 ounce box of Wheaties cost $3.50----$0.11
2.79/6.22 =0.45
3.50/32 = 0.11