05. In a digital communication channel, assume that the number of bits received in error can be modeled by a binomial random variable, and assume that the probability that a bit is received in error is10. If 10 bits are transmitted, what is the probability that more than 8 errors occur using normal approximation and suggest an accurate solution.

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Q: The probability of an integrated circuit passing a quality test is 0.86. In batch of 10 integrated…

A: Here Given  Probability of success= 0.86  so Probability of fail = 1- 0.86 = 0.14=p Sample size= n…

Q: A large genetic pool contains 65 percent of allele ‘A’ and 35 percent of allele ‘a’. If 20 alleles…

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Q: Use the normal approximation to the binomial distri-bution to determine (to four decimals) the…

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Q: Solve the question by using RStudio. In a digital communication channel, assume that the number of…

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Q: Suppose that is a binomial random variable with n = 3, p=.22. what is the probability that X will…

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Q: Suppose that a poll of 18 voters is taken in a large city. The random variable x denotes the number…

A: Solution-: Given: n=18,p=0.43 (Or 43%) What is the mean and standard deviation of X?

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Q: One percent of bits transmitted digitally are received in error. Upon the receipt of an error, bit…

A: 1% of bits transmitted are received in error. So, probability that a bit transmitted received in…

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Q: Suppose that the population mean flight time between cities 1 and 2 is 240 minutes with a population…

A: Given that.   X~N( μ , ?^2 )   μ=240     , ?=20   Z-score =( x - μ )/?

Q: Via ultrasound, it is determined that a cat will have a litter containing 8 kittens. The sexes of…

A: The random quantity is 7X-86.

Q: 10. Let X denote the number of bits received in error in a digital communication channel, and assume…

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Q: Suppose that X is a binomial random variable with n=3 and p=0.22. What is the mean of the random…

A: It is given that X is a binomial random variable with probability of success , p=0.22 and number of…

Q: mple of 1000 com xin ditions necessary ximation to the b

A: According to the sum, We have to use the normal approximation to the binomial to approximate this…

Q: aining in computerprogramming. Applicants are interviewed sequntially and are selected at random…

A: It is an important part of statistics. It is widely used.

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Q: Use a normal approximation to find the probability of the indicated number of voters. In this case,…

A: It is given that variable X represents the number of eligible voters who voted. X~B (123, 0.22).

Q: The number of employed persons in Mexico between 2009 and 2019 can be modeled as a random variable…

A: Solution: Let X be the number of employed persons in Mexico between 2009 and 2019. From the given…

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.