A recent study has shown that a new treatment cures a certain disease 66% of the time. If this percentage is correct, what is the probability that, in a random sample of 5 patients undergoing this treatment, exactly 3 are cured? Round your answer to three decimal places.

A recent study has shown that a new treatment cures a certain disease 66% of the time. If this percentage is correct, what is the probability that, in a random sample of 5 patients undergoing this treatment, exactly 3 are cured? Round your answer to three decimal places.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: A certain insecticide kills 60%60% of all insects in laboratory experiments. A sample of 99 insects…

A: The problem describes a situation where we have a fixed number of independent trials (99 insects),…

Q: The results of a recent survey indicate that when grilling, 59% of all households in the US use a…

A: The number of randomly selected households, The per centage of households in the US that use a gas…

Q: A certain insecticide kills 70%70% of all insects in laboratory experiments. A sample of 77 insects…

A: Step 1: State the given: number of favorable cases, x > 55 (more than 55 insects)probability of…

Q: According to a recent survey, 80% of all teenagers own a smartphone. If we select 10 teenagers at…

Q: thirty four percent of us adults have very little confidence in newspapers. You randomly select 8 US…

A: Binomial distribution:The binomial distribution gives the probability of number of successes out of…

Q: The survival rate during a risky operation for patients with no other hope of survival is 71%. What…

A: Given information- We have given a problem of the binomial distribution. Probability of survival, p…

Q: certain insecticide kills 70% of all insects in laboratory experiments. A sample of 11 insects is…

A: Given that q = 70% = 0.70 , p = 1 - q = 1 - 0.70 = 0.30 , n = 11 X ~ Binomial (n = 11 , p = 0.30) X…

Q: A medical test is given to 1000 people, 53% of whom have diabetes. The test has a false positive…

A: Given that , a medical test is given to 1000 people, 53% of whom have diabetes. It's mean 530 people…

Q: Suppose 55% of the doctors in a hospital are surgeons. If a sample of 496 doctors is selected, what…

A: In hospital , There are 55% of doctors are surgeons Sample size = N = 496 P(sample proportion of…

Q: A certain insecticide kills 60 % of all insects in laboratory experiments. A sample of 8 insects is…

A: The objective of this question is to find the probability that exactly one insect will survive when…

Q: Suppose 57% of the population has a college degree. If a random sample of size 770 is selected,…

A: the pdf of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: The opera theater manager assumes that 10% of the opera tickets for tonight's show have been sold.…

A: Let X denotes tickets being sold. Probability of a ticket being sold (p) is given to be 0.1. a…

Q: You are analysing a factory. Stage 3 of the manufacturing process has a 20% chance of finishing on…

A: Let A denote the event that Stage 3 of the manufacturing process finishes late. Thus AC denotes the…

Q: Assume that the probability of a toss of an unfair coin resulting in heads is known to be 0.0062.…

A: Solution-: Given: P(an unfair coin resulting in heads)=0.0062 We want to find P(Toss of the same…

Q: A researcher believes that 4%4% of females smoke cigarettes. If the researcher is correct, what is…

A: Where,

Q: A psychologist believes that 80% of male drivers when lost continue to drive hoping to find the…

A: Obtain the probability that less than 75% said they continue driving. The probability that less than…

Q: A hotel manager calculates that 12% of the hotel rooms are booked. If the manager is right, what…

A: From the given information,P be the probability that hotel rooms are booked = 0.12.Sample size (n)…

Q: A certain insecticide kills 50% of all insects in laboratory experiments. A sample of 7 insects is…

A: The objective of this question is to find the probability that exactly 4 out of 7 insects will…

Q: The opera theater manager calculates that 32% of the opera tickets for tonight's show have been…

A: The opera theater calculates that 32% of the opera tickets for tonight's show have been sold. That…

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: A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 9 insects is…

Q: It is known that 70% of adult workers have a high school diploma. If a random sample of 25 adult…

A: Here 70% of adult workers have high school diploma. From them a random sample of 25 adult workers is…

Q: A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 6 insects is…

A: The objective of this question is to find the probability that exactly 2 out of 6 insects will…

Q: If a seed is planted, it has a 60% chance of growing into a healthy plant. If 12 seeds are planted,…

Q: If the probability that a randomly chosen college student takes statistics is 0.34, then what is the…

A: The probability that a randomly chosen college student takes statistics is 0.34. The probability…

Q: A survey of 2,350 adults reported that 54% watch news videos. Suppose that you take a sample of…

A: For a random sample of 500 adults, 54% watch news videos.

Q: A certain insecticide kills 60%60% of all insects in laboratory experiments. A sample of 1111…

A: Step 1: The total number of insects is 11.The probability of killed all insects in the lab is…

Q: Maggie is practicing her penalty kicks for her upcoming soccer game. During the practice, she…

A: Sample size, n = 10Probability , p = 65% = 0.65

Q: A certain insecticide kills 70% of all insects in laboratory experiments. A sample of 6 insects is…

A: The objective of this question is to find the probability that exactly 4 out of 6 insects will…

Q: A survey of 2,350 adults reported that 54% watch news videos. Suppose that you take a sample of…

Q: If the probability of 5% movement within 1 week is 95%, what is the weekly movement range with the…

A: It is given that in 1 week, the probability of 5% movement is 95%. We have to calculate the movement…

Q: Maggie is practicing her penalty kicks for her upcoming soccer game. During the practice, she…

Q: 46.5% of Americans get a flu shot each season. What is the probability that 2 out of 3 randomly…

A: Given,n=3p=0.05X=no.of Americans get a flu shot X~Binomial (n=3 , p=0.05)P(X=x)=nxpx (1-p)n-x :…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

A recent study has shown that a new treatment cures a certain disease 66% of the time. If this percentage is correct,
what is the probability that, in a random sample of 5 patients undergoing this treatment, exactly 3 are cured?
Round your answer to three decimal places.
?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

A certain insecticide kills 80% of all insects in laboratory experiments. A sample of 14 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 2 insects will survive? Round your answer to four decimal places.
A blood test for diabetes gives a positive result with a proportion of 0.44 when an individual has diabetes and a negative result with a proportion of 0.33 when they do not. Approximately a proportion of 0.14 of the population has diabetes. If a randomly chosen citizen tested negative, what is the probability that they actually have diabetes? Round your answer to five decimals.
The chances of a pine tree in a particular forest being effected by the pine beetle is 10 percent. If you randomly select 20 trees for testing, what is the probability that fewer than 2 will be infected by the pine beetle? Round your answer to three decimal places, e.g. 0.619.
If a seed is planted, it has a 95% chance of growing into a healthy plant.If 12 seeds are planted, what is the probability that exactly 3 don't grow? Round your answer to three decimal places.
In a poll, 461 out of 1939 people said that they checked their email multiple times per day. What is the probability that a person who polled checks their email multiple times per day? Round your answer four decimal places
A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 12 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 6 insects will die? Round your answer to four decimal places.
A scientist claims that 4%4% of viruses are airborne. If the scientist is accurate, what is the probability that the proportion of airborne viruses in a sample of 553553 viruses would be greater than 5%5%? Round your answer to four decimal places.
You are analysing a factory. Stage 3 of the manufacturing process has a 45% chance of finishing on time. If it does finish on time, the chance of Stage 4 finishing late is 20%. The overall chance of Stage 4 finishing on time is 71.2%. What is the chance that Stage 4 finishes late if Stage 3 finished late? Round your answer to 2 decimal places.
66% of college biology students in the United States are female. If we take a random sample of 200 of these students, find the probability that the number of females is at least 135.Write your answer in decimal to four decimal places.
If the probability that the Islanders will beat the Rangers in a game is 81%, what is the probability that the Islanders will win at least three out of five games in a series against the Rangers? Round your answer to the nearest thousandth.
A certain insecticide kills 70% of all insects in laboratory experiments. A sample of 11 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 22 insects will die? Round your answer to four decimal places.
A blood test for diabetes gives a positive result with a proportion of 0.22 when an individual has diabetes and a negative result with a proportion of 0.11 when they do not. Approximately a proportion of 0.66 of the population has diabetes. If a randomly chosen citizen tested negative, what is the probability that they actually have diabetes? Round your answer to five decimals.