Question

consider a binomially distributed random variable resulting from a series of 100 independent trials with a...

consider a binomially distributed random variable resulting from a series of 100 independent trials with a 70% chance of success on any given trial. use the normal approximation to ESTIMATE the probability of observing more than 64 but less than 76 successes

Homework Answers

Answer #1

please like ??

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider a binomially distributed random variable constructed from a series of 8 trials with a 60%...
Consider a binomially distributed random variable constructed from a series of 8 trials with a 60% chance of success on any given trial. Calculate the probability that there are more than 3 successes.
Let B~Binomial(n,p) denote a binomially distributed random variable with n trials and probability of success p....
Let B~Binomial(n,p) denote a binomially distributed random variable with n trials and probability of success p. Show that B / n is a consistent estimator for p.
A random variable has a 0.02 probability of success in each independent trial, where the total...
A random variable has a 0.02 probability of success in each independent trial, where the total number of trials is n= 90.         a.     What is the expected number of successes in 90 trials?         b.     What is the standard deviation of successes in 90 trials?         c.     Use the binomial distribution to find the probability of 90 trials.         d.     Use the Poisson distribution to approximation find the probability of   in                90 trials.
Suppose  is a Binomial random variable for which there are 8 independent trials and probability of success...
Suppose  is a Binomial random variable for which there are 8 independent trials and probability of success 0.5 and is a Binomial random variable for which there are 10 independent trials and probability of success 0.5. What is the difference in their means? a. 1 b. 1.25 c. 1.5 d. 0.5 e. 2
The binomial random variable x consists of n = 60 trials and has the probability of...
The binomial random variable x consists of n = 60 trials and has the probability of failure q = .4. Using the normal approximation, compute the probability of 45 successes.
Consider a sequence of independent trials of an experiment where each trial can result in one...
Consider a sequence of independent trials of an experiment where each trial can result in one of two possible outcomes, “Success” or “Failure”. Suppose that the probability of success on any one trial is p. Let X be the number of trials until the rth success is observed, where r ≥ 1 is an integer. (a) Derive the probability mass function (pmf) for X. Show your work. (b) Name the distribution by matching your resulting pmf up with one in...
Determine if the random variable from the experiment follows a Binomial Distribution. A random sample of...
Determine if the random variable from the experiment follows a Binomial Distribution. A random sample of 5 SLCC professors is obtained, and the individuals selected are asked to state the number of years they have been teaching at SLCC. 1. There there are two mutually exclusive outcomes (success/failure).                            [ Select ]                       ["FALSE", "TRUE"]       2. Since a sample size of 5 is less than...
1. If x is a binomial random variable where n = 100 and p = 0.3,...
1. If x is a binomial random variable where n = 100 and p = 0.3, find the probability that x is less than or equal to 20 using the normal approximation to the binomial. Show work and excel functions if possible.
1. A normal distribution has a mean of 105.0 and a standard deviation of 18.0. Calculate...
1. A normal distribution has a mean of 105.0 and a standard deviation of 18.0. Calculate the Z score that you would use in order to find the probability P(X>111.0) 2. A statistical experiment involves recording the number of times a light blinks during intervals of varied durations. Historically, the light blinks at a rate of 5.1 times per minute on average. Calculate the probability that in a randomly selected 5.5-minute interval, the light blinks 31 times. 3. Consider a...
A) Suppose we are considering a binomial random variable X with n trials and probability of...
A) Suppose we are considering a binomial random variable X with n trials and probability of success p. Identify each of the following statements as either TRUE or FALSE. a) False or True - The variance is greater than n. b)    False or True - P(X=n)=pn. c)    False or True - Each individual trial can have one of two possible outcomes. d)    False or True - The largest value a binomial random variable can take is n + 1. e)...