Given : The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes.

To find : What is the probability that X is less than 32 minutes?

Solution :

If X has an average value of 24 minutes.

i.e. $\lambda=24$

The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.

The exponentially function is $\frac{1}{\lambda}e^{-\frac{x}{\lambda}}$

The function form according to question is

$f(x)=\{\frac{1}{24}e^{-\frac{x}{24}}, x>0\}$

The probability that X is less than 32 minutes is

$P[x$

Therefore, the probability that X is less than 32 minutes is 0.736.

7 0

3 years ago

Write an equation of a horizontal line tuat passes through the point (3,-3)

aniked [119]

Answer:

y = -3

Step-by-step explanation:

A horizontal line has all the same y values, but changing x values

y must equal -3 all the time if it goes through (3,-3)

y = -3

6 0

3 years ago

Read 2 more answers

Please help! Anyone who knows about SSS, SAS, ASA, and AAS theorems.

umka21 [38]

Answer:

Step-by-step explanation:

Given:

∠C ≅ ∠E

Statements Reasons

1). ∠C ≅ ∠E 1). Given

2). ∠ABC ≅ ∠DBE 2). Vertically opposite angles

3). ΔABC ~ ΔDBE 3). By AA postulate of similarity.

5 0

3 years ago

the graph of part of linear function G is shown on thw grid. which inequality best represents the range of the part shown?​

the graph of part of linear function G is shown on thw grid. which inequality best represents the range of the part shown?