A bus arrives every 25 minutes at a bus stop. It is assumed that the waiting time for a particular individual is a random variable with a continuous uniform distribution. (a) What is the probability that the individual waits more than 13 minutes? (b) What is the probability that the individual waits between 9 and 13 minutes? (a) The probability is (Simplify your answer.) (b) The probability is (Simplify your answer.)

Q: dx .2 О . 2.25 O b. -2.75 Ос.-2.25 O d. 3

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Q: 6. Evaluate the following: (ey)dy dx 0. A. e-1 e-1 C. 2e +7 2. D. e?

A: Given: I=∫01∫0y3exydydx   As we know the basic integral formula; ∫eax+bdx=1aeax+b+C

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Q: Substitute a = 1, b 0.4, andc= 1.1 into the formula P= a+b+cthen evaluate. O 1.5 0.5 O 2.5

A: Given that  a=1 , b=0.4 , c=1.1

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A: Stem and leaf plot given for 25 students  First we will write down data in normal format We have to…

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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Q: 5 a. Evaluate 2cos4t 3

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Q: 5. The Binomial random variable's probability mass(density) function is: n! p(i)=|" |p'(1– p)', i =…

A: The binomial random variables probability mass function is, p(i) = ni  pi 1-pn-1     i = o,1,2....n…

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Q: 4c + 36 ÷ 3 + 4(1+2) if c = 5

A: BODMAS Rule: B - Brackets O - Order of powers or roots D - Division M - Multiplication A - Addition…

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Q: Find z. R, 3 O a. 2 b. 4.5 O c. 7 d. 8

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A: we know that,Cr=n!(n-r)!×r!nand r!=r(r-1)(r-2).....×2×1

Q: A B C Total 47 Male 12 20 15 |Female 13 11 5 Total 25 31 20 29 76

A: Given data: The grades and gender of a group of students regarding to test is tabulated. Total…

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A: We all know that, x1/2 = x0.5 = √x

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A: The variable x denotes the number of accidents daily.

Q: -8- 11. YA 5- y = 5 y= 2x + 1 3- 2 y =2 1+ 1 2 3 The diagram shows the lines y = 2 and y = 5 and…

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Q: A(-1;0), B(1;2) and C(3; 4) By 5.0 o ot slum d vig iniol nioq

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Q: The midrange of the following is 6, 3, 2,8, 4, 1 Select one: а. 4 O b. 4.5 с. 7 d. 3.5

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Q: Simplify. e 9 In x – О А. 9х X = O B. x10 O C. 9 O D. x e10 E. xe C.

A: This question is based on properties of Logarithm.

Q: Find the mode: 76, 25, 76, 13, 25, 29, 56, 76 O a. О а. 47 ОБ. 76 O b. О с. 42.5 O d. 25

A: We have given that,  The data set is,  76, 25, 76, 13, 25, 29, 56, 76 Then,  We will find the mode…

Q: Match these values of r with the accompanying scatterplots: 0.755, – 0.404, 0.993, - 0.755, and - 1.…

A: r: correlation coefficient. This determines the level of relationship between 2 variables. Its value…