During a laboratory experiment, the average number of radioactive particles passing through a counter in 1 millisecond is 4. What is the probability that 2 to 8 particles enter the counter in 2 millisecond?

Q: Find the exact probability that you get sum of 10 when two die are tossed

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Q: Hospitals typically require backup generators to provide electricity in the event of a power outage…

A: Independent events:If A and B are two independent events, the probability of the event A and B can…

Q: A Doctor examines a patient whose heart beats skips at an average rate of 9.4 per minute. What is…

A: The average rate of heartbeat skips is given to be 9.4 per minute.As the average rate of heartbeat…

Q: 4. Suppose is a discrete rv with E(9X + 2) = 20 and E(X²) = 13. (a) Find E (X) (b) Find V (X)

A: a) We will use the formula E(aX+b)=aE(X)+b E(9X+2)=20E(9X)+E(2)=209E(X)+2=209E(X)=18E(X)=2   Answer:…

Q: Suppose the probability of having a boy or a girl is equally likely.  In 6 births, what is the…

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Q: The probability of getting exactly 1 girl in 8 births

A: Let the random variable x is number of girls. The probability of getting a girl and boy are equal.…

Q: What is the probability that if you roll a die 6 times, you will get a 2 on the 6th try?

A: The sample space for rolling a dice is {1,2,3,4,5,6} probability of getting 2 is 16 Probability of…

Q: The probability of a fair coin landing heads-up in one toss is 1/2. If a coin is tossed 20 times,…

A: Given that, the probability of a fair coin landing heads-up in one toss is 1/2. We need to find the…

Q: The probability of buying a movie ticket with a popcorn coupon is 0.717. If you buy 21 movie…

A: Given datan= 21p= 0.717probability that exactly 14 of the tickets have popcorn coupon green is given…

Q: A history class is comprised of the probability that 3 female s (If necessary, consult a list of

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Q: Please determine the probability that a number less than six (6) will be rolled when rolling a die.

A: Given a die is rolled once

Q: Microorganisms appear in the tap water of a certain region at the average rate of 1.6 microorganisms…

A: Number of microorganisms that appear on an average in 1 gallon (4 quarts)  = 1.6 Number of…

Q: The time between arrivals of vehicles at a particular intersection follows an exponential pr 5 a.…

A: The probability mass function and Cumulative distribution function for Exponential distribution is…

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: The average counting rate of a radioactive sample is 486 cpm (counts per minute). Find the…

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Q: If a seed is planted, it has a 75% chance of growing into a healthy plant. If ten seeds are…

A: Givenprobability of growing into a healthy plant=0.75probability of doesn't…

Q: Assume that the mortality rate of a unicorn increases by 10% every year and assume that a proportion…

A: Given that the mortality rate of a unicorn increases by 10% every year and assume that a proportion…

Q: A single die is rolled 3 times what is the probability that a 5 will show atkeast once

A: A single die is rolled 3 times what is the probability that a 5 will show atleast once

Q: We know that certain bacteria are present in water in a proportion of 3 bacteria per cm3 . What is…

A: Given:. This means that on average, we expect to find 3 bacteria in each cubic centimeter of…

Q: What is the probability that 5 particles enter the counter in any given millisecond?

A: Let X denote the number of particles passing through a counter in 1 millisecond.

Q: The mosquitos are out in your back yard, and they bite you at random times. Each bite happens…

A: The average time between bites is 1.417 minutes. Each bite happens independently of the last bite.

Q: Flaws in a sheet of paper tend to occur randomly and independently at a rate of one every 160 square…

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Q: A coin is tossed 14 times. What is the probability of getting heads exactly one time? Round your…

A: a coin is tossed 14 timesProbability of getting heads when a coin is tossed(p)==0.5sample…

Q: A coin is tossed 13 times. What is the probability of getting heads exactly one time? Round your…

A: Given,tossed = 13 times.Total number of outcomes:2^n = 2^13         = 8192

Q: A machine produces a defective item 8 % of the time.  A customer purchases a box of 60 of these…

A: Solution :  Given : p= 0.08             n = 60  Let, X : Number of defective items Here X ~ B (…

Q: in a new fiber-optic communication system, transmission errors occur at the rate of 1.5 per ten…

A: The random variable X is the number of transmission errors that occur in fiber optic communication…

Q: The experimental probability that Morgan will randomly select a penny from a bag of coins is 19100.…

A: Given that

Q: Amy tosses a fair seven-sided die 2 times. What is the probability she rolls at least 1 four? If…

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Q: What is the probability of a stone hitting one of the glass panes?

A: A door is 7 'x 4'. There are 4 glass panes in the door that measures 3' x 1'. Probability =…

Q: Approximate the probability (4 decimal places) of less than 9900 hits in a day.

A: Hiven ,Hits follow poisson distributionmean (μ) = λ = 10000 per daystandard deviation σ = λ = 10000…

Q: n applicant is selected at random, what is the probability that he/she passes the academic…

A: Given:     Work Experience standards      yes  No  Total Academic Achievement Standards  yes…

Q: s in a carpet tend to occur randomly and independently at a rate of one every 300 square feet. What…

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Q: If you roll a die once, what is the probability that you will get a 4 or less? Round off your answer…

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Q: If you roll a die once, what is the probability that you will get a 4 or higher? Round off your…

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