1. A password consists of 10 characters (using only upper or lowercase letters or digits 0-9). a. How many such passwords are possible? b. What is the probability of randomly guessing such a password with one guess? Write the answer as a fraction and as a decimal in scientific notation.

Q: The number of orders received daily by an online vendor of used CDs is normally distributed with…

A: Given that.   X~N( μ , ?^2 )   μ=210     , ?=16   Z-score =( x - μ )/?

Q: . A nationwide survey of college seniors by the University of Michigan revealed that almost 70%…

A: Given that n =12,p=0.7 a. find the p( 7<=x<9) =? b. find the p(x<=5) =? c. find the p(…

Q: Test the claim that the mean GPA of night students is significantly different than 2.1 at the 0.01…

A: Given  Population mean μ=2.1,  level of significance ɑ=0.01

Q: QUESTION 7 Given a symmetrical Bell-shaped curve showing characteristics and properties of Normal…

A: Let Z be the random variable from symmetrical bell-shaped (normal) curve them we will find the…

Q: A committee of five students is to be selected from a group of six females and four males. There…

A: Probability is calculated as the ratio of the number of cases favorable to an event to the total…

Q: Which of the following is true about the probability density function (pdf) of a continuous random…

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Q: At any given time, a subatomic particle can be in one of two states, and it moves randomly from one…

A:

Q: A survey found that the American family generates an average of 17.2 pounds of glass garbage each…

A: Let M be the mean of sample of n = 55 families. Then according to CLT, M follows N(mean = 17.2, SD =…

Q: An article suggests that substrate concentration (mg/cm3) of influent to a reactor is normally…

A: Mean(µ) = 0.30Standard deviations (σ) = 0.07X ~ N (µ, σ )= N(0.30, 0.07)

Q: For x = 1, 2, 3 and y = 1, 2, let the joint pmf of X and Y be defined by f X,Y (x, y) = (x+y)/21…

A: Given that  The joint probability mass function of X and Y is  f(x,y)=(x+y)/21   , x=1,2,3 and y=1,2…

Q: 1. In how many ways can 8 members of Board of Directors be chosen from 5 juniors and 7 seniors if…

A: Let us suppose there are three marbles viz. a red, a green and a blue. From these, there are three…

Q: . In a binomial distribution with p=0.02 and n=70, what is the actual probability of three success?…

A: p =   = 0.021- p = 1 - 0.02 = 0.98n= 70 X ~Binomial(n, p) X follows the Binomial (70 ,0.02)The PMF…

Q: For for a on-hom ogencous Poissonprocess, function is giren by the A(4) =5 if t is in Cl,2] or…

A:

Q: Construct the confidence interval for the population mean p. c= 0.98, x = 4.7, o = 0.6, and n= 41…

A: We have given that,  Sample mean (x̄)= 4.7, Population standard deviation (σ) and sample size (n) =…

Q: Find a constant C such that p is a probability density function on the given interval and compute…

A: To find the value of C we will use the fact that the integration of pdf f(x) over whole range of X…

Q: Suppose that the weather in a certain city is either sunny, cloudy, or rainy on a given day, and…

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Q: Below, n is the sample size, p is the population proportion, and p is the sample proportion. First,…

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Q: From the following data: 24, 109, 16, 128, 46, 86, 57, 37 The median

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Q: The probability that a cyclist in a bicycle entering the Camp Sinai is O-12; the probalbility that…

A: Solution-: Let, Event A: Vehicle is a cyclist and       Event B: Vehicle is a camper Event that…

Q: MX racing is a sprint sport where races range from around 30 to 45 seconds depending on the length…

A: Given that BMX racing is a sprint sport where races range from around 30 to 45 seconds depending on…

Q: What is the probability of obtaining a sample mean of 56 or less from a sample of 50​?

A:

Q: Conditional Probability Determine the following probabilites. Write your answer as a simplified…

A: A single die is rolled than the possible outcomes ares=1,2,3,4,5,6

Q: A particular fruit's weights are normally distributed, with a mean of 452 grams and a standard…

A:

Q: Write the Sample space, outcome or event of the ff: 3. Choosing a heart card in an ordinary deck of…

A: We know that a deck of card contain a total of 52 cards let E= event of getting a heart card We know…

Q: Assignment: find out the probability where the values of favorable and unfavorable are equal…

A: Given information: The values of favourable and unfavourable are equal.

Q: A. Determine whether or not the two events are mutually exclusive, write (ME) if mutually exclusive…

A: Two events are said to be mutually exclusive, if there are no common elements in those events.

Q: The average number of calls received by an operator is 10 calls per day. Find the probability that…

A: Given that  The average number of calls received by an operator is 10 calls per day. Find the…

Q: uppose you are playing a game where you bet $5 and have a 48% chance of winning. The bet is 1:1.…

A: Given that  Suppose you are playing a game where you bet $5  Chance of winning = 48%  P(win) = 0.48…

Q: At any given time, a subatomic particle can be in one of two states, and it moves randomly from one…

A:

Q: a) Determine the cumulative distribution function of photoresist thickness. b) Determine the…

A: The thickness of photoresist applied to wafers in semiconductor manufacturing at a…

Q: Use the given frequency distribution table, estimate the following: Class boundaries Frequency (f)…

A: Data given  Class Frequency 11 - 16 3 16 - 21 5 21 - 26 7 26 - 31 9

Q: Random variables X and Y have the joint PMF with a constant k P(x, y) = }"0. Skxy, x = 1,4; y = 1,3…

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Q: Assuming a constant failure rate of 0.012 with an exponential probability distribution, if only a…

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Q: Chinese industry will locate in Manila, the Philippines, which has a probability of 0.7, it will…

A: Given that  P(Manila)=0.7 , P(Cebu)=0.4 P(Manila Or Cebu)=0.8

Q: A committee of five students is to be selected from a group of ten students. Three of the students…

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Q: A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance…

A: Let X be the random variable from normal distribution with mean (μ) = 65 miles and standard…

Q: a deck of cards, what is the probability of getting the following: a. A red card? b. A face card or…

A: Since we know that in standard deck there are  52 cards  total

Q: A safe box requires a new user to set up a 6-digit code before using it. The user is llowed to only…

A: Given that,  A safe box requires a 6 digit code. The user is allowed to only set up the code using…

Q: Three fair coins are tossed. find the probability that they are all heads if the first coin is head…

A:

Q: A bag contains five discs, numbered from 1 to 5 inclusive. A disc is drawn from the bag. If the…

A: Here use counting principle

Q: one box contains six red balls and four green balls. let 3 balls are randomly chosen from the box.…

A:

Q: 4. What change in the number of days is associated with an increase of 1.5 of the index?

A: Given:

Q: You wish to test the following claim (H.) at a significance level of a = 0.02. H.:µ = 73.5 Ha:µ +…

A: Given,n=61M=76standard deviation(s)=18.1α=0.02 H0:μ=73.5Ha:μ≠73.5

Q: Determine the following probabilities. Enter your final answes as reduced fractions. Two marbles are…

A: We have given that Number of blue marbles = 8 Number of Red marbles = 10 Total number of marbles =…

Q: Probability Trey has 12 marbles as shown in the diagram below. Each marble is either blue (labeled…

A: Given that  Total marbles=12 Yellow marbles=3 Red marbles=7 Blue marbles=2

Q: Answer the problem involving permutations with restrictions. SHOW YOUR SOLUTION. 1.) There are 4…

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

Q: You wish to test the following claim (H.) at a significance level of a = 0.02. H.:µ = 53.1 Ha:µ +…

A: Given information Hypothesized mean µ = 53.1 Sample size (n) = 52 Mean M = 47.2 Standard deviation…

Q: 3 The following table shows information about students studying a particular course IFY IY1 Male…

A: Given that    IFY IY1 Total  Male 40 36 76 Female  51 24 75 Total 91 60 151

Q: 9. To get reactions about a particular new car, readers of a car magazine were asked to mail in…

A: We have given the statement To get reactions about a particular new car, reader of a car magazine…

Q: f seven fair coins are simultaneously tossed in the air, what is the probability

A: When a coin is tossed Probability of getting heads is =0.5 Probability of getting tails is =0.5 If 7…