Use a normal approximation to find the probability of the indicated number of voters. In this case, assume that 120 eligible voters aged 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted.
Probability that fewer than 30 voted?
In: Statistics and Probability
Use a normal approximation to find the probability of the indicated number of voters. In this case, assume that 160 eligible voters aged 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted.
Probability that fewer than 39 voted
The probability that fewer than 39 of 160 eligible voters voted is _____.
In: Statistics and Probability
Begin by creating a probability distribution for the number of
heads in five tosses of a coin. List the different possible
outcomes.
Calculate the expected value of the random variable.
Calculate the standard deviation of this distribution.
In: Statistics and Probability
Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in one month is given by the following table.
| x | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| p(x) | 0.06 | 0.10 | 0.11 | 0.30 | 0.31 | 0.10 | 0.01 | 0.01 |
(a) Find the mean value of x (the mean number of
systems sold).
mean =
(b) Find the variance and standard deviation of x. (Round
the answers to four decimal places.)
| variance | = | |
| standard deviation | = |
(c) What is the probability that the number of systems sold is
within 1 standard deviation of its mean value?
P(μ − σ < x < μ
+ σ ) =
(d) What is the probability that the number of systems sold is more
than 2 standard deviations from the mean?
P(x < μ − 2σ or x
> μ + 2σ) =
In: Statistics and Probability
Use a normal approximation to find the probability of the indicated number of voters. In this case, assume that 146 eligible voters aged 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted.
Probability that fewer than 37 voted
In: Math
You are an engineer in charge of designing a new generation of elevators for a prospective upgrade to the Empire State Building. Before the state legislature votes on funding for the project, they would like you to prepare a report on the benefits of upgrading the elevators. One of the numbers that they have requested is the time it will take the elevator to go from the ground floor to the 102nd floor observatory. They are unlikely to approve the project unless the new elevators make the trip much faster than the old elevators. If state law mandates that elevators cannot accelerate at greater than 2.70 m/s2 or travel faster than 15.3 m/s, what is the minimum time in which an elevator can travel the 373 m from the ground floor to the observatory floor?
In: Physics
(1)Sphere A is attached to the ceiling of an elevator by a string. A second sphere is attached to the first one by a second string. Both strings are of negligible mass. Here m1 = m2 = m = 3.57 kg.
(a) The elevator starts from rest and accelerates downward witha= 1.35 m/s2. What are the tensions in the two strings in newtons?
(b) If the elevator moves upward instead with the same acceleration what will be the tension in the two strings in newtons?
(c)The maximum tension the two strings can withstand is 92.2 N. What maximum upward acceleration (in m/s2) can the elevator have without having one of the strings break?
(2) Consider the 65.0-kg ice skater being pushed by two others shown in the figure below.
(a)Find the direction (in degrees counterclockwise from the +x-axis) and magnitude (in N) ofFtotthe total force exerted on her by the others, given that the magnitudes F1 and F2 are 22.0 N and 15.8 N, respectively. (AssumeF1points in the positive x direction.)
(b) What is her initial acceleration (in m/s2) if she is initially stationary and wearing steel-bladed skates that point in the direction ofFtot?(Assume friction is negligible. Enter the magnitude only.)
(c) What is her acceleration (in m/s2) assuming she is already moving in the direction ofFtot?(Assume friction is negligible. Enter the magnitude only.)
(3)Here, mA = 2.50 kg and mB = 6.50 kg. The string connecting the two objects is of negligible mass and the pulley is frictionless. The objects start from rest and move with constant acceleration.
(a) What is the magnitude of the acceleration (in m/s2) of each of the objects?
(b) What is the magnitude (in N) of the tension in the string?
(c)Through what distance (in m) will the two objects move in the first three seconds of motion?
In: Physics
1. Use the 68-95-99.7 Rule to approximate the probability rather than using technology to find the values more precisely. The daily closing price of a stock (in $) is well modeled by a Normal model with mean $158.14 and standard deviation $4.64. According to this model, what cutoff value(s) of price would separate the following percentage?
a) highest 0.15%
b) highest 50%
c) middle 95%
d) highest 2.5%
2. In the last quarter of 2007, a group of 64 mutual funds had a mean return of 4.6% with a standard deviation of 2.5%. Consider the Normal model N(0.046, 0.025) for the returns of these mutual funds.
a) What value represents the 40th percentile of these returns?
b) What value represents the 99th percentile?
c) What's the IQR, or interquartile range, of the quarterly returns for this group of funds?
In: Statistics and Probability
11. Draw a schematic of a swash plate axial piston pump with inclined pistons. Explain briefly its function and give an expression for its geometric volume.
In: Mechanical Engineering
Programming Java Homework:
Find the Highest Score (Just need the code and directions followed exactly and written in Java code)
Write a program that prompts the user to enter the number of students and each student’s name and score, and finally displays the name and score of the student with the highest score.
Use the next () method in the Scanner class to read a name, rather than using the nextLine () method.
In: Computer Science