The following function is cumulative distribution function. 0 x < -15 0.30 -15 < x < 45 F(x) = 0.90 45 < x < 75 1 75 ≤ x Determine the requested probabilities. Round your answers to two decimal places (e.g. 98.76). P(X ≤ 75)= i P(X ≤ 60) = i P(60 ≤x≤ 90) = i P(X < 0) = i Atter eTextbook and Media Save for Later DELL O

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### Cumulative Distribution Function

The following function is a cumulative distribution function (CDF):

\[ F(x) = 
\begin{cases} 
0 & x < -15 \\ 
0.30 & -15 \le x < 45 \\ 
0.90 & 45 \le x < 75 \\ 
1 & 75 \le x 
\end{cases}
\]

### Requested Probabilities

Calculate the following probabilities using the CDF given above. Round your answers to two decimal places (e.g., 98.76).

1. \( P(X \le 75) = \)
2. \( P(X \le 60) = \)
3. \( P(60 \le X \le 90) = \)
4. \( P(X < 0) = \)

### Answer Inputs

Enter your answers in the corresponding fields below. Make sure to adhere to the specified rounding precision.

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#### Save Progress

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Make sure to review example problems in your textbook or course materials to understand how to calculate probabilities from a cumulative distribution function. This is essential for performing well in statistics and probability courses.

If you have any questions or need further clarification, please consult your instructor or refer to relevant sections in your eTextbook.
Transcribed Image Text:### Cumulative Distribution Function The following function is a cumulative distribution function (CDF): \[ F(x) = \begin{cases} 0 & x < -15 \\ 0.30 & -15 \le x < 45 \\ 0.90 & 45 \le x < 75 \\ 1 & 75 \le x \end{cases} \] ### Requested Probabilities Calculate the following probabilities using the CDF given above. Round your answers to two decimal places (e.g., 98.76). 1. \( P(X \le 75) = \) 2. \( P(X \le 60) = \) 3. \( P(60 \le X \le 90) = \) 4. \( P(X < 0) = \) ### Answer Inputs Enter your answers in the corresponding fields below. Make sure to adhere to the specified rounding precision. --- #### Study and Reference Materials - eTextbook and Media #### Save Progress - [Save for Later] Button --- Make sure to review example problems in your textbook or course materials to understand how to calculate probabilities from a cumulative distribution function. This is essential for performing well in statistics and probability courses. If you have any questions or need further clarification, please consult your instructor or refer to relevant sections in your eTextbook.
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