The number of ants per acre in the forest is normally distributed with mean 42,000 and standard deviation 12,243. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(___,___) b. Find the probability that a randomly selected acre in the forest has fewer than 51,308 ants. c. Find the probability that a randomly selected acre has between 43,676 and 53,243 ants. d. Find the first quartile. ants (round your answer to a whole number)

The number of ants per acre in the forest is normally distributed with mean 42,000 and standard deviation 12,243. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(_,_) b. Find the probability that a randomly selected acre in the forest has fewer than 51,308 ants. c. Find the probability that a randomly selected acre has between 43,676 and 53,243 ants. d. Find the first quartile. ants (round your answer to a whole number)

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

Similar questions

A random sample of a population of size n = 36, find the prob that the mean is between 110 and 115. The pop u is 100, and the sd is 15.
Help
Susan jogs to the park each day and the trip takes an average of µ = 22 minutes. The distribution of jog times is approximately normal with a standard deviation of σ = 10 minutes. For a randomly selected day, what is the probability that Susan’s jog to the park will take less than 16 minutes? Select one: a. 0.2743 b. 0.8957 c. 0.3236 d. 0.7554
please send correct answer for Q7
Please only answer b c d
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P9, the 69-percentile. This is the temperature reading separating the bottom 69% from the top 31%. P69 %3D
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X=percent of fat calories. Round all answers to 4 decimal places if where possible a. What is the distribution of X? X N( b. Find the probability that a randomly selected fat calorie percent is more than 40. c. Find the minimum number for the lower quarter of percent of fat calories.
Suppose baby kittens' weights are normally distributed with a mean of 11.4 and a standard deviation of 2.1. The Z-score tells you how many units above the average (if Z-score is positive) or below the average (if Z- Score is negative) any particular baby kitten's weight is. Find the baby kitten weight that corresponds to the following Z-scores. Use the formula Z where u is the mean, o is the standard deviation, and X is the baby kitten weight. a. Z = = 0.07, X = b. Z = 1.63, X =
175% O ALTITUDES (OH MYI (ОН МУН en information to find each value. 2. Find x and RT if SU is a median of ARST. on TU UR def of 2x+24 2x +24=5x-30D medion 5x-30 X =18 X-18 RT=120
Find the standard deviation of workers with no drug problem from the sample. (Round your answer to the nearest hundredth)
Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard deviation of 1.00°C. A thermometer is randomly selected and tested. Draw a sketch and find the temperature reading corresponding to P34, the 84th percentile. This is the temperature reading separating the bottom 84% from the top 16%. Click to view page 1 of the table. Click to view page 2 of the table. Which graph represents P ? Choose the correct graph below. 84 A. В. OC. D. Ay X The temperature for P84 is approximately (Round to two decimal places as needed.)