The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives \[10.4\] years; the standard deviation is \[1.9\] years. Use the empirical rule \[(68 - 95 - 99.7\%)\] to estimate the probability of a meerkat living longer than \[16.1\] years.

The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives \[10.4\] years; the standard deviation is \[1.9\] years. Use the empirical rule \[(68 - 95 - 99.7\%)\] to estimate the probability of a meerkat living longer than \[16.1\] years.

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: According to a survey, a person uses a smart phone for 3 years on average and the standard deviation…

Q: The length of human pregnancies from conception to birth approximates a normal distribution with a…

A: Let X be length of time marks the longest 2.16 % of all pregnancies from normal distribution with…

Q: In the country of United States of Heightlandia, the height measurements of ten-year-old children…

Q: s of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15…

A: Given that Lengths of pregnancies are normally distributed. Mean (μ) = 268 days Standard deviation…

Q: The amount of time it takes students to complete a biology exam is normally distributed with a…

A: Given that, The random variable X is the amount of time takes students to complete a biology exam It…

Q: the average age of ceos is 54 years. assume the random variable is normally distributed. if the…

A: Let X be the random variable from normal distribution with mean (μ) = 54 and standard deviation (σ)…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2 years,…

A: A manufacturer knows that their items have a normally distributed lifespan, with Mean = 2 Standard…

Q: UPPOSE THE LIFETIMES OF TV TUBES ARE NORMALLY DISTRIBUTED WITH A STANDARD DEVIATION OF 1.1 YEARS.…

A: GIVEN DATA : lifetimes of TV tubes are normally distributed with a standard deviation of 1.1 years…

Q: The length of pregnancies from conception to natural birth among a certain female population is…

A: Given data,μ=270σ=9P(X<285)=?

Q: Find the standard deviation of the first 'n'natural numbers.

Q: The life time of a particular steel plate used in constructions has a normal distribution with a…

A: we have given that, the construction normally distributed with mean (mu)= 80 and standard deviation…

Q: One country’s annual rainfall has a normal distribution with mean of 100 inches and standard…

Q: Female cougar weights are normally distributed with mean=102 pounds and standard deviation= 13…

A: Answer:- Given that, μ=102, σ=13

Q: The average weight of the leatherback sea turtle is 880 lbs with a standard deviation of 44 lbs.…

A: Given Mean=μ=880, standard deviation=σ=44 P(X>1000)=? Nahi te: According to Bartleby…

Q: The gestation period for human births can be taken as normally distributed with a mean of 256 days…

Q: Elephants have the longest pregnancy of all mammals. suppose that for Asian elephants, the lenghts…

A: The objective of this question is to find the percentage of Asian elephant pregnancies that are…

Q: The mean value of the scores in a Statistics exam was 85 with a standard deviation of 4. Find an…

Q: The time it takes for a grade 11 students to complete a physical test is normally distributed with a…

A: X=the time for Grade 11 students to complete a physical fitness test Given that X follows a normal…

Q: The retirement age of National Football League (NFL) players is Normally distributed with a mean of…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: he retirement age of National Football League (NFL) players is Normally distributed with a mean of…

Q: the life span of computer manufactured by xyz company is normally distributed with mean 8 years and…

Q: The length of human pregnancies from conception to birth approximates a normal distribution with a…

Q: The life of a component is normally distributed with mean 800 days and standard deviation 100 days.…

Q: The number of defective electronic gadgets leaving a production line daily is known to be normally…

A: Given : The number of defective electronic gadgets leaving a production line daily is known to be…

Q: In the country of United States of Heightlandia, the height measurements of ten-year-old children…

A: given data normal distribution μ = 56.2σ = 6.3P(44.55<x<54.25) = ?

Q: The mean age that cats get adopted at a shelter is 21.4 months with a standard deviation of 3.6…

A: Normal distribution is also known as the Gaussian distribution . It is widely used in statistics .

Q: According to the records, the amount of precipitation in a certain city I don't November day has a…

A: According to records, the amount of precipitation in a certain city on a November day has a mean of…

Q: In the country of United States of Heightlandia, the height measurements of ten-year-old children…

A: The objective of this question is to find the probability that the height of a randomly chosen child…

Q: The lifetimes of a certain type of battery are assumed to follow a Normal distribution with mean 16…

A: Normal distribution

Q: Glucose levels in patients free of diabetes are assumed to follow a normal distribution with a mean…

A: Given , Mean ( μ ) = 111 standard deviation (σ) = 10.

Q: The average monthly income of public school teachers is Php25,000 with standard deviation of Php800.…

Q: A company makes batteries that have life spans with a mean of 3000 hours and standard deviation of…

A: From the given information, Sample size (n) = 85 Mean (µ) =3000 Standard deviation (σ) =70 Consider,…

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3 years,…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: The number of cell phone minutes per month used by a collage student follows a normal distribution…

A: To solve this problem, we first need to standardize the given values using the standard normal…

Q: the country of United States of Heightlandia, the height measurements of ten-year-old children are…

A: Given that The value of μ is 53.6. The value of σ is 5. To calculate the z using the formula,…

Q: ime of a particular steel plate used in constructions has a normal distrib Whet la th hebili

A: Given:Mean=μ=80Standard deviation=σ=9Data point=x=60 The formula of z-score is:z=x-μσ The…

Q: The lifespan of a certain insect is believed to follow a normal distribution

A: Life span = X and follows normal with μ=98 and σ=7 We know that (x-μ)/σ follows N(0,1) so,…

Q: A random survey of 85 death row inmates revealed that the mean length of time on death row is 17.8…

A: Answer: From the given data, Sample size (n) = 85 Sample mean x = 17.8 years Sample standard…

Question

The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives \[10.4\] years; the standard deviation is \[1.9\] years.

Use the empirical rule \[(68 - 95 - 99.7\%)\] to estimate the probability of a meerkat living longer than \[16.1\] years.

Video Video

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: Introduce the given data

VIEW

Step 2: Calculate the probability

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

An electronic component is known to have a useful life which follows a probability distribution with failure rate of 10−5 failures per hour. What is the probability that the component would fail before the mean life of expected life?
The average age of UST employees is 34 years old. Assume the data is normally distributed. If the standard deviation is three years, find the probability that the age of randomly selected UST employees will be in the range between 25 and 40 years old.
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.9 inches, and standard deviation of 1 inches.What is the probability that the height of a randomly chosen child is between 51.9 and 55.9 inches? Do not round until you get your your final answer, and then round to 3 decimal places.
The lifetime of lightbulbs that are advertised to last for 3500 hours are normally distributed with a mean of 3700 hours and a standard deviation of 150 hours. What is the probability that a bulb lasts longer than the advertised figure? Probability =
The length of a particular animal's pregnancies are approximately normally distributed with mean of 275 days and standard deviation of 20 days. The proportion of pregnancies that last more than 280 days is?
Suppose that blood chlorine concentration (mmol/L) has a normal distribution with mean=98 and standard deviation=7, what is the probability that a randomly selected individual has a blood chlorine concentration greater than 110 mmol/L? Use 4 decimal places.
Suppose the scores of students on an exam are normally distributed with a mean of 337 and a standard deviation of 95. According to the empirical rule, what percentage of students scored between 147 and 527 on the exam
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 117.6 cm and a standard deviation of 0.9 cm.Find the probability that the length of a randomly selected steel rod is less than 119.7 cm.Probability = (Use 4 decimal places)
The amount of snowfall falling in a certain mountain range is normally distributed with 80 inches and a standard deviation of 20 inches. What is the probability that the mean annual snow falling during 25 randomly picked years will exceed 72.8 inches?
The Philips Bangladesh manufactures electric bulbs that have a length of life that is normally distributed with mean equal to 850 hours and standard deviation of 40 hours.Find the probability that a bulb burns between 780 and 834 hours.
The lengths of a particular animal's pregnancies are approximately normally distributed with mean of 275 days and standard deviation of 20 days. What proportion of pregnancies lasts between 250 and 285 days?
The lengths of lizards aged 2 to 8 years from an island in the pacific are approximately normal with mean 34 inches and standard deviation 2.7 inches. Truncate all answers to 4 decimals. Find the probability a 7 year-old lizard on that island is longer than 32 inches.