Question

Math

Posted 3 months ago

```
Kelsie works at a bicycle shop as a salesperson. She records the number of bicycles she sells on a daily basis. Here is the probability distribution of $B=$ the number of bicycles Kelsie sells on a randomly selected day, and $T=$ the time she spends filling out daily sales reports.
\begin{tabular}{lcccc}
\hline$B=\#$ of bicycles sold & 0 & 1 & 2 & 3 \\
$T=$ time (minutes) & 0 & 10 & 20 & 30 \\
Probability & 0.30 & 0.50 & 0.15 & 0.05
\end{tabular}
Find the expected value of the amount of time Kelsie spends filling out daily sales reports.
$E(T)=$
$\square$ minutes
```

Sign in to unlock the answer

Answer from Sia

Posted 3 months ago

Solution by Steps

step 1

Calculate the expected value of the time Kelsie spends filling out daily sales reports using the probabilities and corresponding times

step 2

Multiply each time by its corresponding probability: $0 \times 0.30$, $10 \times 0.50$, $20 \times 0.15$, and $30 \times 0.05$

step 3

Add the products to find the expected value: $0 \times 0.30 + 10 \times 0.50 + 20 \times 0.15 + 30 \times 0.05$

step 4

Perform the calculations: $0 + 5 + 3 + 1.5$

step 5

Sum the results to get the final expected value: $5 + 3 + 1.5 = 9.5$ minutes

[1] Answer

9.5 minutes

Key Concept

Expected Value of a Random Variable

Explanation

The expected value is calculated by summing the products of each outcome's value and its probability. It represents the average outcome if the experiment were repeated many times.

Not the question you are looking for? Ask here!

Enter question by text

Enter question by image

Upgrade to Asksia Pro

Join a AskSia's Pro Plan, and get 24/7 AI tutoring for your reviews, assignments, quizzes and exam preps.

Unlimited chat query usages

Strong algorithms that better know you

Early access to new release features

Study Other Question