A long-distance taxi service company owns three vehicles. These vehicles are of different ages and have different repair records. The probabilities that, on any given day, each vehicle will be available for use are 0.90, 0.80, and 0.85. Whether one vehicle is available is independent of whether any other vehicle is available. a) Find the probability distribution for the number of vehicles available for use on a given day. (Hint: define a random variable X as the number of vehicles available for use on a given day. Now, figure out how many different values it can assume and what are the corresponding probabilities?) b) Find the expected number of vehicles available for use on a given day. c) Find the standard deviation of the number of vehicles available for use on a given day.

Q: Use mathematical induction to prove that the given statement is true. n< 2"

A: Let P(n) be the statement : n&lt;2n  Step :1 We need to prove that P(1) is true. As  1&lt;2=21 , So…

Q: the numbers 1 to 20 are written on slips of paper and put in a hat. How many possible ways can yo…

A: Odd number or a two-digit numbers are: 1, 3, 5, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20.…

Q: Possible Equations: A). B) C) D) E) F).

A: Let's find possible equation.

Q: (a) When a right angle is divided into two adjacent angles, angles are formed. Part B supplementary…

A:

Q: 2)Write a rational number to represent each of the following situations: a) Cheryl owes her dad $15…

A: A number which can be expressed as pq wher p and q are integers and q≠0 is called rational number.

Q: a) List all the possible routes from A to B: B А

A:

Q: On average, Americans spent $940 dollars on holiday gifts in 2019, with a standard deviation of…

A: Here, we have given that on average , Americans spent $ 940 dollars on holiday gifts in 2019, with…

Q: Prove by induction that for sets A1, A2, . .,An, n A¡ i=1

A: For induction method we take a statement. We will show that the statement is true for n=1, n=2 then…

Q: (e) The table gives the amount of carbon emitted into the atmosphere in carbon dioxide from 1860 to…

A:

Q: Complete

A:

Q: a) In the figure, are AB, CD, and EF C A- B concurrent? b) Are CD, EF, and GH E concurrent? F D G

A: Concurrent lines: Three and more than three lines are called concurrent if the intersection point of…

Q: Twice a number increased by 3 is at least 19. Find the least possible value of number.

A: Given, Twice a number increased by 3 is at least 19.   Following the mentioned word we get,…

Q: E C.

A:

Q: 2) Guess My Rule Write a formula relating y and x. And then state three more ordered pairs which…

A: Formula to find the linear equation of two points is: y-y1=y2-y1x2-x1(x-x1) -(1)

Q: Consider the table below: 3 6 2 5 15 236 I 523,6 ii) 10 21 0,015236 33 122 a) Fill in the missing…

A: As per the question we are given an incomplete data table which we have to fill up using suitable…

Q: (a) i3 (b) i4 (c) ¿5 %3D ||

A: Please refer the attached image for complete solution.

Q: Which number is NOT in the solution set of x + 5 > 10?7 A) 4 B) C) D) 12

A: Given : x+5&gt;10

Q: Can you please answer parts a) through f) it is all one question, also please show and highlight the…

A: Disclaimer: Since we are entitled to answer up to 3 sub-parts, we will answer the first three as you…