Example 7: Subway trains on a certain line run every half hour between mid-night and six in the morning. What is the probability that a man entering the station at a random time during this period will have to wait: (i) (ii) (iii) At least 20 minutes? At most 25 minutes? Between 25 to 30 minutes? Also compute the mean and variance of the above distribution and comments on your results.

Q: т 1 Let A = (6 "). m Find A4 1

A:

Q: 4. x² 2x 5. (125x²y¹) 6. (16a 1/4

A: (4)  K=x22x-5ax×ay=ax+y

Q: 75 - 3.5y - 4y = 4y + 6

A:

Q: 3

A:

Q: 1/3+2/9

A: Given 1/3 + 2/9

Q: Find L{1}ℒ{1}.

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Q: 3 3 x-5 1 322

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Q: 3. A box contains 60 yellow marbles, 110 blue marbles and 90 green marbles. If you pick one marble…

A:

Q: 1. O O O O lim (In(x))* ? 5.

A: Consider the given expression. y=limx→0+lnxxx Take ln on both sides of the equation.…

Q: Max 3A + 2B IA+IB ≤ 10 3A +1B ≤ 24 1A + 2B ≤ 16 A, B 0

A:

Q: Simplify. 8(2x³y-3x)-x+5 O 16x³y - 24x O 16x³y - 4x + 5 10x5y - 32x + 40 16x³y - 25x + 5

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Q: 22n+1 3n+1 2.

A:

Q: Find the Funetion

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Q: find  3/4 + 1/8

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Q: 18 2h 6h

A: Find the value of h  For which two line segments are equal

Q: 10 X 12 X-3 +4=0

A: Here we have to find the value of x.

Q: 20 Evaluate 42 E (6m + 3) m=1

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Q: A 2/15 B 30 V35 5 20

A: Given,  A circle with secant and tangent  We have to find the value of x

Q: 4. A consumer organization that evaluates new automobiles customarily reports the number of major…

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Q: V415

A: Given query is to find the square root of 415.

Q: 2. 9=x-2y 3x + 5 = 2y

A: The given equations are system of linear equations in variables x and y. We solve these by…

Q: Complete the truth table for the given statement by filling in the required columns. TA-S

A: Solution: The given information is

Q: 8. B (6,7) (13,7) |(0,2) 10 12 14 My friend had a nearly-empty tank of gas, only enough to travel 15…

A: We have to find that the gas is enough or not to reach at point C.

Q: Fully simplify. (2/-54)(10/48)

A: The detailed solution is as follows below:

Q: Find L¹ 1 5 (s²-25) Do not expand. Use a property from 7.4.

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Q: 57-24

A: Given that: 57-24

Q: Show that 8 = [(AB) (aß) – (AB) (aB)] %3D

A: ANSWER: For the given data,

Q: 29 Using the combination formula expand (5+x)

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Q: Prove that n² +n is divisible by 2, where n E N.

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Q: /2 2. 1/2

A: (a12+b12)(2a12-3b12)=2a12a12+2a12b12-3a12b12-3b12b12=2a+2a12b12-3a12b12-3b=2a-a12b12-3b

Q: 13. Divide. (2? + 9x – 52) ÷ (x – 4) x + 13 0.-+ 1 – 4 + 4 O++13+ 4 2 x - 4

A:

Q: 3 3/4 + 2 7/28

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.