Ex 7: Let X denote the number of bits received in error in a digital communication channel, and assume that X is a binomial random variable with p = 0.001. If 1000 bits are transmitted, determine the following: a/ P(X=1),P(X ≥2) b/ Mean and variance of X

Q: 5. Calculate the value of k so that the function f(x) = k/5ª. N, set a probability function of a…

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Q: d. The standard deviation. Q5: A- Assuming there are 25% of measurement items are defective, if we…

A: The probability mass function of Binomial distribution is given by

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Q: Let 2 be a non-empty set. Let Fo be the collection of all subsets such that either A or AC is…

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Q: How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters (a) is…

A: Given5 letters is "FGHIJ"No.of letters = 5

Q: How many ways that two girls and 4 boys can fall in a line of there must be a girl and a boy in the…

A: Introduction: There are 2 girls, and 4 boys.

Q: 14. 160 people sit their driving test. 108 people took 10 or more hours of driving lessons. 29 of…

A: 14) Given that, 160 people sit their driving test. 108 people took 10 or more hours of driving…

Q: For which sample size (n) and sample proportion (6) can a normal curve be used to approximate the…

A: Answer :- Find  for which sample size (n)  and sample proportion (P^)  can a normal…

Q: ) 5 taxis b) 4 to 8 taxis c) more than 2 taxis

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Q: Q3. During the inaugural season of a certain soccer league, the medical teams documented 256…

A: Solution-: We have given following table: Severity Practice (P) Game (G) Total Minor (A) 62 81…

Q: b. Hydraulic landing assemblies coming from an aircraft rework facility are each inspected for…

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Q: Giving a test to a group of students, the grades and gender are summarized below   A B C Total…

A: We have given that     A B C Total Male   11 5 3 19 Female   13 19 17 49 Total   24 24 20…

Q: legally purchase alcohol in the State of Oregon (students who are 21 or over). If we want the margin…

A: Given that  Margin of error =E =5% =0.05 90% confidence interval.  NOTE:- According to bartleby…

Q: how many seating arrangements can be done? (

A: here given ,  there are 6 girls and 5 boys in class

Q: Determine f(2) so that the given function can serve as a probability distribution of the discrete…

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Q: Roxanne likes to fish. She estimates that 30% of the fish she catches are trout, 20% are bass, and…

A: Given that, Roxanne estimates that 30% of the fish she catches are trout, 20% are bass, and 10% are…

Q: What is the probability that out of 75 babies born, at least 40 will be girls? Assume that boys and…

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Q: Q4/ If the semester average: for the first semester = 8, for the second semester = 7, for the third…

A: It is given that Mean(semester 1) = 8 Mean(semester 2) = 7 Mean(semester 3) = 3

Q: How many different ways can a race with 6 runners be completed? (Assume there is no tie.) Your…

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Q: A stem-and-leaf plot for the number of touchdowns scored by all Division 1A football teams is shown…

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Q: Compute for the standard deviation X f 0≤x≤ 6 6 6 < x < 12 8 12 ≤ x < 20 24 20<x< 30 7 30≤x≤40 3

A: Solution-: We have following table: Class Interval Freq (fi) 0≤x&lt;6 6 6≤x&lt;12 8…

Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

A: From the above data We are given that Total number of cards = n =52 No of selected cards = r =3

Q: b. A machinist produces 22 items during a shift. Three of the 22 items are defective and the rest…

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Q: The average number of traffic accidents on a certain section of highway is two per week. Assume that…

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Q: Question-4 a. 100 glass bottles coming off a production line. Out of 100 there are 20 glass bottles…

A: Let p be the probability bottle have serious flaws in glass  n be the number randomly selected…

Q: For numbers 14-15. A sample of 150 plastic pipes were selected and subjected to shock resistance and…

A: Given data is  SCRATCH RESISTANCE SHOCK RESISTANCE   HIGH LOW HIGH 125 12 LOW 7 6

Q: 10 The volume of milk in a 1 litre carton is normally distributed with a mean of 1.01 litres and…

A: It is given that  Mean, μ = 1.01 Standard deviation, σ = 0.005 Z-Score, z = ( X - μ )/σ   Note:…

Q: I. The smoke will not be detected by device CS200 given that it has detected by device WS500. II.…

A: HERE DEFINE EVENTS FROM GIVEN INFORMATION  SMOKE will be detected by device CS200  = A smoke will be…

Q: Given the table below, determine P(6 < W< 10). 3 6 12 P(W=w) 2k k² 0.8-3k ON 15 0.26

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Q: Two workers A and B are both working for a certain store. Worker A comes to work 80% of the time…

A: The provided information is  P(A)=0.60 P(B)=0.80 If A and B are independent  Then,…

Q: Solve step by step The antidote called hydroxocobalamin, which is used to treat fire smoke…

A: In order to solve this question, we use a binomial probability distribution as X = no. of people…

Q: 1 - Be X and Y random independent variables with o 2X variations and o²Y, respectively. Being Z=X+ Y…

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Q: Q10. The probability model for a random variable A is [% , a=-1 P₁(a)=% a=1 0, otherwise The…

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Q: A transportation company has one motorbike, 3 cars, 5 vans and 6 busses. An LTO official will…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: 2. [10 pts] The Erasmus program helps facilitate European students studying in another European…

A: Given that - The Erasmus program helps facilitate European students studying in another European…

Q: Ex 4: On average, 3 traffic accidents per month occur at a certain intersection. What is the…

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Q: (3) You take an exam that contains 20 multiple-choice questions. Each question has 4 possible…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Juanita and Nina are bowling together. The probability of Juanita getting a strike next game is 24%…

A: Given that  Juanita and Nina are bowling together. The probability of Juanita getting a strike next…

Q: A class in Engineering Data Analysis consists of 6 women and 4 men. Their grades are calculated, and…

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Q: (c) A random variable is defined as “ the number of heads        when a coin tossed”, (i) three…

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Q: Philip has 80 chocolates left in a box. The chocs are either hard or soft.  (i) Philip picks a choc…

A: Given information: Total no. of chocolates=80chocolates=1. Hard.2. Soft.P(soft-centred chocolate)=38

Q: ccording to the actual census data, in 12.6 percent of counties, there percentage of residents 65…

A: Given that, In 12.6 percent of the counties the proportion of residents who are 65 years and older…

Q: If x is a r.v. with c.d.f. F(x), F(x) is continuous at x = 10, then P(X= 10) = 0. True False

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Q: Suppose that diameters of a new species of apple have a bell-shaped distribution with a mean of…

A: From the given information, the mean is 7.19 and the standard deviation is 0.38.

Q: The moment generating function M (t) for random variables y are as follow. Examine and identify the…

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Q: Selecting a Committee There are 7 women and 5 men in a department. How many ways can a committee of…

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Q: The different ways to arrange 3 flowers from 5 flowers is 20. O True O False

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Q: 5b A committee of 8 members is to be formed from a group of 7 women and 5 men. i.) Calculate the…

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Q: Data showed that 22% of people in a small town were infected with the COVID-19 virus. A random…

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Q: 7. If there are 12 representatives in SSG (Supreme Student Government), how many different sets of…

A: As per the Bartleby guildlines we have to solve first question and rest can be reposted...   Given…