A local bakery has determined a probability distribution for the number of cheesecakes that they sell in a given day. Let x equal the number of cheesecakes sold on a randomly selected day. 10 15 20 P(x) 0.24 0.46 0.08 ? 0.16 What is the probability of selling 15 cheesecakes in a given day? P(r = 15) = What is the probability of selling at least 10 cheesecakes? P(x > 10) = What is the probability of selling 5 or 15 cheesecakes? P(x = 5 or a = 15) = What is the probability of selling 25 cheesecakes? P(x = 25) = %3D What is the probability of selling at most 10 cheesecakes? P(x < 10) = Give the expected number of cheesecakes sold on any given day using the discrete probability distribution?

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Author:Amos Gilat
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A local bakery has determined a probability distribution for the number of cheesecakes that they sell in a given day. Let \( x \) equal the number of cheesecakes sold on a randomly selected day.

The values are represented in the following probability distribution table:

\[
\begin{array}{c|c|c|c|c|c}
x & 0 & 5 & 10 & 15 & 20 \\
\hline
P(x) & 0.24 & 0.46 & 0.08 & ? & 0.16 \\
\end{array}
\]

**Questions:**

1. What is the probability of selling 15 cheesecakes in a given day?

   \( P(x = 15) = \) 

2. What is the probability of selling at least 10 cheesecakes?

   \( P(x \geq 10) = \) 

3. What is the probability of selling 5 or 15 cheesecakes?

   \( P(x = 5 \text{ or } x = 15) = \) 

4. What is the probability of selling 25 cheesecakes?

   \( P(x = 25) = \) 

5. What is the probability of selling at most 10 cheesecakes?

   \( P(x \leq 10) = \) 

**Calculate the expected number of cheesecakes sold on any given day using the discrete probability distribution.**
Transcribed Image Text:A local bakery has determined a probability distribution for the number of cheesecakes that they sell in a given day. Let \( x \) equal the number of cheesecakes sold on a randomly selected day. The values are represented in the following probability distribution table: \[ \begin{array}{c|c|c|c|c|c} x & 0 & 5 & 10 & 15 & 20 \\ \hline P(x) & 0.24 & 0.46 & 0.08 & ? & 0.16 \\ \end{array} \] **Questions:** 1. What is the probability of selling 15 cheesecakes in a given day? \( P(x = 15) = \) 2. What is the probability of selling at least 10 cheesecakes? \( P(x \geq 10) = \) 3. What is the probability of selling 5 or 15 cheesecakes? \( P(x = 5 \text{ or } x = 15) = \) 4. What is the probability of selling 25 cheesecakes? \( P(x = 25) = \) 5. What is the probability of selling at most 10 cheesecakes? \( P(x \leq 10) = \) **Calculate the expected number of cheesecakes sold on any given day using the discrete probability distribution.**
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