... a. Find the probability P(20sxs 33). P(20sxs33) = .65 (Round to four decimal places as needed.) b. Find the probability P(30

MATLAB: An Introduction with Applications
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The task involves finding probabilities from a uniform probability distribution with parameters \( c = 20 \) and \( d = 40 \). Complete parts \( a \) through \( f \).

**a. Find the probability \( P(20 \leq x \leq 33) \):**

\[ P(20 \leq x \leq 33) = 0.65 \]

(Round to four decimal places as needed.)

**b. Find the probability \( P(30 < x < 40) \):**

\[ P(30 < x < 40) = 0.5 \]

(Round to four decimal places as needed.)

**c. Find the probability \( P(x \geq 33) \):**

\[ P(x \geq 33) = 0.35 \]

(Round to four decimal places as needed.)

**d. Find the probability \( P(x \leq 20) \):**

\[ P(x \leq 20) = 0 \]

(Round to four decimal places as needed.)

**e. Find the probability \( P(x \leq 33) \):**

\[ P(x \leq 33) = 0.65 \]

(Round to four decimal places as needed.)

**f. Find the probability \( P(30.5 \leq x \leq 35.5) \):**

\[ P(30.5 \leq x \leq 35.5) = \_\_ \]

(Round to four decimal places as needed.)
Transcribed Image Text:The task involves finding probabilities from a uniform probability distribution with parameters \( c = 20 \) and \( d = 40 \). Complete parts \( a \) through \( f \). **a. Find the probability \( P(20 \leq x \leq 33) \):** \[ P(20 \leq x \leq 33) = 0.65 \] (Round to four decimal places as needed.) **b. Find the probability \( P(30 < x < 40) \):** \[ P(30 < x < 40) = 0.5 \] (Round to four decimal places as needed.) **c. Find the probability \( P(x \geq 33) \):** \[ P(x \geq 33) = 0.35 \] (Round to four decimal places as needed.) **d. Find the probability \( P(x \leq 20) \):** \[ P(x \leq 20) = 0 \] (Round to four decimal places as needed.) **e. Find the probability \( P(x \leq 33) \):** \[ P(x \leq 33) = 0.65 \] (Round to four decimal places as needed.) **f. Find the probability \( P(30.5 \leq x \leq 35.5) \):** \[ P(30.5 \leq x \leq 35.5) = \_\_ \] (Round to four decimal places as needed.)
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