Tadashi sent 2000 bits of data to Hiro via a noisy channel. Due to the noise, each bit may have an error with probability 0.05. If the errors occur independently, approximate the probability that Hiro receives less than 250 errors.

Q: Suppose that the number of bacteria in a pond of water has an average rate of 24 bacteria per 8…

A: Given that, there are 24 bacteria per 8 mm3  This means per 1 mm3 , there are 24/8=3 bacterias.…

Q: From past experience, the probability that a new worker in a company can complete his daily tasks…

A: Let us define some events A : the new worker undergoes the training. B : the new worker does not…

Q: A coffee shop receives on average of 5 orders for every 30 minutes. What is the probability that…

A: A coffee shop receives on average of 5 orders for every 30 minutes. What isthe probability that they…

Q: For lambda = 5.5, the probability of x 2 is: %3D

A:

Q: The probability that a pair of twins is girls is 0.25. Given that the probability of the first child…

A: Given, P(Pair of twins is a girl)=0.25 p(first child being a boy)=0.55 To find Probability that a…

Q: If one of the pedestrian deaths is randomly selected, find the probability that the driver was not…

A: Given that Total number of pedestrian deaths = 989 Number of deaths with driver was not intoxicated…

Q: If a parachutist lands at random point on a line between markers A and B, find the probability that…

A: Assume that y is the point between A and B where the parachutist lands.Suppose Ay is the distance…

Q: The wait time for your local pizzeria to deliver food is normally distributed with µ = 35 minutes…

A:

Q: Every morning Sheldon pesters his friends to give him a lift to work. The probability that he will…

A: Given  p= 0.7 n  = 5

Q: The Philippine Institute of Volcanology and Seismology (PHIVOLCS) records an average of 20…

A: Givenan average of 20 earthquakes a dayλ=20 earthquakes a day x~poisson(λ=20)P(X=x)=e-λ×λxx!    ;…

Q: A bag contains a large number of balls colored red, green or blue. If the probability of choosing a…

A: The bag contains red, green and blue. The probability of choosing a red ball is 0.425 and the…

Q: It is known that an average of 5 trains pass through Grand Central Terminal every 30 minutes. Find…

A: Given that, An average of 5 trains pass through in every 30 minutes. From this we can say that this…

Q: On average, commercial on HULU last 2.5 minutes. What is the probability that Julio will wait…

A:

Q: Find the probability that a component will fail during a 12-hour shift.

A: Pdf of exponential distribution  f(x)=λe-λx                x>0 Here, λ=0.025

Q: From the sugar bagging area, a conveyor belt conveys bagged sugar to the warehouse at an average of…

A: The probability density function of poisson distribution is given by

Q: The probability that Sam does his homework correctly is .43 and that of John is .41. Assuming they…

A: If two events S and J are independent, then, P (S or J) = P(S)+ P(J) – P(S)P(J).The probability that…

Q: Each of the two friends tosses an unbiased coin ten times. What 1s the probability that each one…

A: Given Each of the friends tosses an unbiased coin ten times. Let X be the number of getting heads,…

Q: Find the probability that exactly 7 out of 10 adults are active on social media considering a…

A: Given that  Probability of failure = 50% = 0.50 = P (1-P) = 1-0.50 = 0.50  = P(Success) Sample size…

Q: One prominent physician claims that 70% of those with lung cancer are chain smokers. If his…

A: Given: Probability that patients with lung cancer are chain smokers, =0.70

Q: Each of two identical spinners has five equal sectors that are numbered 1 to 5. If you spin both…

A: Probability = number of favourable outcome/ total number of outcomes

Q: If an experiment is repeated multiple times, the experimental probability and the theoretical…

A: the more trials you do, the closer the experimental probability comes to theoretical probability

Q: Sergio estimates that his probability of passing French is 0.8 and his probability of passing…

A: Sergio estimates that his probability of passing French is 0.8 and his probability of passing…

Q: James and Davis belong to the same basketball team.  After so many  3 – point attempts, James…

A: Given: For James Number of attempts (n) = 20 Number of shots (x) = 12 For Davis Number of attempts…

Q: In a survey of college​ students, 808 said that they have cheated on an exam and 1770 said that they…

A: Given that in a survey of college​ students, 808 said that they have cheated on an exam and 1770…

Q: For most years, 0.95 of the population diagnosed with a certain cancer is adults and 0.05 is female.…

A: Given information- The probability that the population diagnosed with a certain cancer is adults P…

Q: A café receives an average of 4 orders of pizza in every 1 minutes. What is the probability of…

A:

Q: It is known that the probability of 1 person suffering side effects from a certain drug is 0.005. If…

A: We can solve this problem using poisson distribution.

Q: A recent study shows that over 1 year, the average number of major fires in a small Oregon city is…

A: Given,the average no.of fires oregon city is(λ)=6so , average no.of fires per 2 months isλ=212×6λ=1…

Q: If the probability that an individual will suffer a bad reaction from injection of a given serum is…

A: Given that the probability that an individual will suffer a bad reaction from injection of a given…

Q: An archer is able to hit the bull's-eye 44% of the time. If she shoots 7 arrows, what is the…

A: Given: Number of shots (n) = 7 Probability of success (hitting the bull's eye) = p = 0.44 Let X be…

Q: A student is able to solve 10 practice problems per hour, on average. Find the probability that she…

A: Introduction :-  Given :- A student is able to solve 10 practice problems per hour, on average. We…

Q: A basketball player makes a successful free throw 51% of the time. If they free throw 9 times, what…

A:

Q: A pair of die is rolled and the sum of the numbers is noted. Find the probability that one die…

A: Conditional rule:The formula for probability of A given B is,

Q: It is known that an average of 5 trains pass through Grand Central Terminal every 30 minutes. Find…

A: Consider the random variable X that reprsent number of trains that will pass through Grand Central…

Q: If she made the last free throw, then her probability of making the next one is 0.6. On the other…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: If the probability of hitting a goal ball player is 0.4, then if this player wants to hit the goal…

A: Probability of hitting a goal is  p=0.4 Probability of not hitting a goal is  q=1-0.4= 0.6

Q: If the probability of seeing a ship from the beach in 1 hour is 0.35, what is the probability of…

A: Given that ,The probability of seeing a ship from a beach in hour is 0.35 .

Q: If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was…

A: here use given data table and basic probability Rule

Q: In a blood testing​ procedure, blood samples from 5 people are combined into one mixture. The…

A:

Q: The probability that both stages of a two stage missile will unction correctly is 0.95. The…

A:

Q: In the class of Mr. Matic, the probability that a student likes both mathematics and science is…

A: Probability is the likelihood of all the observation occurred in the sample. Conditional event…

Q: On average there are 3 leaks for every 100 miles of a pipeline. What is the probability that a…

A: Givenon average there are 3 leaks for every 100 miles of a pipelineλ=32=1.5  leaks per 50-mile…

Q: A telemarketer will give an average of 4 calls in an hour. Find the probability that he will give at…

A:

Q: Suppose that you are looking for a colleague who lives within 2 kilometer of you. If you fund that…

A:

Q: If one order is selected, find the probability of getting an order that is not accurate.

A: The data is given by   A B C D Total Accurate 311 264 250 134 959 Not accurate 33 60 30 11…

Q: If Omar can hit the target 4 times in 5 shots, suppose he fires 4 shots to the target, then the…

A: P(hit) = 4/5 P(miss) = 1/5 = p n = 4 shots Distribution : Binomial Random variable = X = no. of…

Q: Each of two identical spinners has eight equal sectors that are numbered 1 to 8. If you spin both…

A: Probability is the chance of occurrence of observation can involve in the sample with equal…

Q: When Alexa takes her 1st free throw in a game, she has a 40 percent chance to score. She has a 70…

A: Probability : The term "probability" merely refers to the probability of one thing occurring. we are…

Q: The probability that a regularly scheduled flight departs in time is 0.83, the probability that it…

A: Given: The probability that a regularly scheduled flight departs in time is 0.83 The probability…