To evaluate a binomial probability on your calculator, press [2nd] then [VARS] to select DISTR and scroll down to binompdf or binomcdf and press [ENTER]. The syntax is binompdf(n,p,x), where n is the number of trials, p is the probability of success, and x is the desired number of successes.? To calculate exact probabilities, use binompdf. For example, if there are 10 trials, each with probability .75 of success, the probability of exactly 5 successes is binompdf(10, .75, 5).? To calculate “at most” probabilities, use binomcdf. For example, if there are 10 trials, each with probability .75 of success, the probability of at most 5 successes is binomcdf(10, .75, 5).? To calculate “at least” probabilities, use the complement of the above strategy for “at most.” For example, the complement of “at least 6 successes” is “fewer than 6 successes.” Therefore, P(at least 6) = 1 − P(fewer than 6) = 1 − P(at most 5).? In any case, always ask yourself: “What is n? What is p? What is x?” Your success on binomial problems requires three important skills: identifying binomial experiments, finding these three numbers correctly, and using the correct command on your calculator. In other words:– when to use a binomial command – what numbers to put into it– which binomial command to useSuppose that 28% of people own a cool hat. If I randomly select 20 people, how likely am I to find that exactly 4 of them have a cool hat?What is the probability that more than 4 have a cool hat?What is the probability that between 4 and 7 (inclusive) have a cool hat?If I flip 100 fair coins, how likely am I to get exactly 50 Heads and 50 Tails?If I roll a fair die 100 times, how likely am I to get at least 12 6s?

Dear student, According to Bartleby guidelines we can answer at most 3 subparts of a question at once. So here I have answered only first 3 questions. If you want the solution of remaining two please repost the last 2 questions separately. If you find the solutions helpful please upvote ? it. Define, X : No of people having a cool hat out of a sample of 20 people. Here, X ~ Bin(n=20, p=0.28) 1. P(exactly 4 people have a cool hat) = P(x=4) = binompdf(20, 0.28, 4) [Put this expression in your calculator] = 0.15533 = 0.16 (approximately) 2. P(more than 4 people have a cool hat) = P(atleast 5 people) = 1 - P(at most 4) = 1 - P(x<=4) = 1 - binomcdf(20, 0.28, 4) [put this command on calculator] = 0.69811 = 0.70 (approximately) 3. P(4 <= no of people having cool hat <= 7) = P(at most 7 people) - P(fewer than 4 people) = P(at most 7 people) - P(at most 3 people) = P(x<=7) - P(x<=3) = binomcdf(20, 0.28, 7) - binomcdf (20, 0.28, 3) [put this command on calculator] = 0.82927 - 0.14656 = 0.68271 = 0.68 (approximately)

Answered: Suppose that 28% of people own a cool…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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To evaluate a binomial probability on your calculator, press [2nd] then [VARS] to select DISTR and scroll down to binompdf or binomcdf and press [ENTER]. The syntax is binompdf(n,p,x), where n is the number of trials, p is the probability of success, and x is the desired number of successes.
- ? To calculate exact probabilities, use binompdf. For example, if there are 10 trials, each with probability .75 of success, the probability of exactly 5 successes is binompdf(10, .75, 5).
- ? To calculate “at most” probabilities, use binomcdf. For example, if there are 10 trials, each with probability .75 of success, the probability of at most 5 successes is binomcdf(10, .75, 5).
- ? To calculate “at least” probabilities, use the complement of the above strategy for “at most.” For example, the complement of “at least 6 successes” is “fewer than 6 successes.” Therefore, P(at least 6) = 1 − P(fewer than 6) = 1 − P(at most 5).
- ? In any case, always ask yourself: “What is n? What is p? What is x?” Your success on binomial problems requires three important skills: identifying binomial experiments, finding these three numbers correctly, and using the correct command on your calculator. In other words:
  
  – when to use a binomial command – what numbers to put into it
  – which binomial command to use

Suppose that 28% of people own a cool hat. If I randomly select 20 people, how likely am I to find that exactly 4 of them have a cool hat?
What is the probability that more than 4 have a cool hat?
What is the probability that between 4 and 7 (inclusive) have a cool hat?
If I flip 100 fair coins, how likely am I to get exactly 50 Heads and 50 Tails?
If I roll a fair die 100 times, how likely am I to get at least 12 6s?