Two aeroplanes bomb a target in succession. The probability of each correctly scoring a hit is 0.3 and 0.2 respectively. The second will bomb only if the first misses the target. Find the probability that the target is hit by the second plane. * Your answer

Q: Box 1 (B1) has 3 Red and 4 Green balls, Box 2 (B2) has 4 Red and 5 Green balls. One of the boxes is ...

A: given that box1 has 3 red and 4 green balls box2 has 4 red and 5 green balls ( a )P(R)=? (b)P (B2/R)...

Q: In a room of 42 people , there are 16 boys and 26 girls. 8 boys and 12 girls are wearing a school un...

A: Given that In a room of 42 people , there are 16 boys and 26 girls. 8 boys and 12 girls are wearing ...

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Q: II. Solve for the variance and standard deviation.

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Q: Which of the following conditions is NOT required to construct a 90% confidence interval for u?

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Q: 4. Given u = 72, o = 6, n=45. 5. A population has mean 5.75 and standard deviation of 1.02. If a ran...

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Q: Suppose that X is a discrete random variable with the following probability mass function: 1 2 3. p(...

A: It is given that Sample size n = 12 Sample = (3, 0, 2, 1, 0, 3, 0, 2, 1, 0, 2, 1)  

Q: Gabriel has 4 black socks, 6 red socks and 2 blue socks in his drawer. If he  randomly takes 2 socks...

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Q: 3. In a school, 60% of pupils have access to the internet at home. A group of 8 students is chosen a...

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Q: Consider the following logistic regression outcome. Coef. SE Coef. Constant -1.5514 0.2661 DaysBeer ...

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Q: Which software should you purchase in order to save money in the long run, C or D? Satisfaction Not ...

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Q: ? = 60?2+39X Calculate the mean (expected value) of the random variable

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Q: Two game spinners are shown below. The first is marked off in three equal sections and labeled with ...

A: We have two spinners.  1) First spinner has three equal sections and labeled with the numbers 5,6 an...

Q: 2. Let X denote the amount of space occupied by an article placed in a 1 – fr packing container. The...

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Q: 3. For students enrolled at the University of Missouri we have collected data from a randomly select...

A: Given- Sample Size = n = 1000              Population Size = N = 28000             Sample Mean =x = ...

Q: Given the sample space and events of A, B, and C where A= (1,2,3, 4) // B= (2,3,4,5,6) // C=(3, 4,5,...

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Q: Activity I. The following data show the probabilities for the number of inquiries received per day b...

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Q: 4 A fair die is rolled. Let Y be the face value show ing, 1, 2, 3, 4, 5, or 6 with each having the p...

A: A fair die is rolled. Let Y be the face value showing, 1,2,3,4,5 or 6 with each having the probabili...

Q: ou toss a six sided die three times. Calculate the probability that you will toss three consecutive ...

A: Introduction: It is assumed that the die is fair, so that all six sides have equal probability, 1/6,...

Q: Note for this In each row 4 decimal places In final answer 2 decimal places P(X) 10 30 Prghabily 30 ...

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: 5. Calculate your after tax monthly income on problem #2 above, if you pay 18% federal income tax, 6...

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Q: The weight of people in a small town in Missouri is known to be normally distributed with a mean of ...

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively. Thus...

Q: Let X be a binomial random variable with p = 0.8 and n = 10. Calculate the following probabilities f...

A: In the given problem X be a binomial with p = 0.8 and n = 10.

Q: Suppose that a country has the following female age structure in the year 2005: Half the women die a...

A: Given the age structure of females in 2005 as shown below At age 20 each women has one daughter. Thu...

Q: A Markov chain has transition matrix (0.1 0.3 0.6' P = 0 0.4 0.6 \0.3 0.2 0.5. vith initial distribu...

A: The Markov Chain has transition matrix P = 0.10.30.600.40.60.30.20.5 with initial distribution π1π2π...

Q: 1. The final exam scores in a statistics class are normally distributed with a mean µ = 64 and stand...

A: It is known that, z score= (x-mean)/standard deviation We use the above formula and find the area fo...

Q: A company's mean salary is $65,000 with a standard deviation of $6,000. If a sample of 40 employees ...

A: GivenMean(x)=65000standard deviation(s)=6000sample size(n)=40

Q: Consider the density function (kVx, f(x) = 0, 0 < x < 1, elsewhere. Evaluate k.

A: Given function is f(x)={kx                0&lt;x&lt;1 0                    elsewhere    

Q: Determine the following summary measures consid (b.1) arithmetic mean (b.2) 10% trimmed mean from th...

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Q: A CD case contains 10 jazz albums, 4 classical albums, and 2 soundtracks. Choose 3 at random to put ...

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Q: How many permutations doesaa combination lock have if each combination has 3 numbers, no two numbers...

A: Permutation and combination : Permutation and combination are two distinct methods of representing a...

Q: calculate the probability that 3 will like it to

A: A local jam production company is confident that 60% of the population will like its new grapefruit ...

Q: It is given that X~N( 30, 5). Find P(27<X<33) O a. 0.5486 O b. 0.4514 O c. 0.7257 O d. 0.2743

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Q: You pick a letter at random from a 26-letter alphabet. If you pick five letters, with repeating lett...

A: Given that  26 letters of alphabet  We have to pick 5 letters with repeating letters allowed:  Then ...

Q: For each of the questions in this section, first identify whether it is discrete or continuous and u...

A: Introduction: It is required to identify each question giving a discrete or continuous variable, and...

Q: . Give the probability distribution of the possible outcomes

A: here given for coin , p(H) =2p(T) coin is rolled 3 times

Q: A bowl is filled with 5 blue marbles, 8 orange marbles, and 3 yellow marbles. Suppose you are select...

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Q: Find the number of ways of arranging the letters of the words DANGER, so that no vowel occupies odd ...

A: Given word: DANGER Number of letters = 6 Number of vowels = 2 (A and E) Number of consonants = 4 (D,...

Q: Two cards are drawn without replacement from a standard 52-card playing deck. What is the probabilit...

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Q: . What is the approximate probability of throwing between 47 and 53 heads in 100 tosses of unbiased ...

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Q: Q: If the inter-quartile range of the group of number 0,3,7,17,30,x,51,70,is 41.5 find the value of ...

A: Given:  The observations in ascending order are 0, 3,7, 17, 30, x, 51, 70 N=8 and inter-quartile ran...

Q: A boy owns 2 pairs of pants, 3 shirts, 8 ties, and 2 jacket. How many different outfits can he wear ...

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Q: 4. The grades of a group of 1000 students in an exam are normally distributed with a mean of 70 and ...

A: (a) The probability that his/her grade is greater than 80 is,

Q: The random variables X andY have joint probability density function f(r, v) 22 (4r - 3y), 0<z<1, 0 <...

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Q: Q. 1.3 Let X1,X12 P(0). Let Ho: 0 and Hị : 0 < We reject Ho if S = E12 X, < 2. Find the powers K(), ...

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Q: Box A contains 20 red marbles and 30 blue marbles. Box B contains 10 white  marbles and 47 black mar...

A: List the given values, Box A :  Red marbles (R) = 20 Blue marbles (B) =  30 Total  marbles in Box A ...

Q: A die has 4 faces with A, 2 faces with B. Jar A contains 3 red and 2 green tickets, while Jar B cont...

A: Given, A die has 4 faces with A and 2 faces with B. So, Probability of selecting Jar A = 46   Probab...

Q: Determine the errors in each of the following statements: a. The probabilities that an applicant wi...

A: a. It is given that, the probabilities that an applicant will receive 0, 1, 2, or 3 responses from t...

Q: A brokerage survey reports that 32% of all individual investors have used a discount broker (one tha...

A: Givenp=0.32n=140x~Binomial(n=140 , p=0.32)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1,....,n