A gambler plays a sequence of games that she either wins or loses. The outcomes of the games are independent, and the probability that the gambler wins is 2/3. The gambler stops playing as soon as she either has won a total of 2 games or has lost a total of 3 games. Let T be the number of games played by the gambler.
In: Statistics and Probability
An elevator has a placard stating that the maximum capacity is 2100 lblong dash 12 passengers. So, 12 adult male passengers can have a mean weight of up to 2100 divided by 12 equals 175 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 175 lb. (Assume that weights of males are normally distributed with a mean of 179 lb and a standard deviation of 26 lb .) The probability the elevator is overloaded is ?
In: Statistics and Probability
Refer to the Baseball 2012 data, which report information on the 30 Major League Baseballteams for the 2012 season.
a. At the .05 significance level, can we conclude that there is a difference in the mean sal-ary of teams in the American League versus teams in the National League?
b. At the .05 significance level, can we conclude that there is a difference in the mean home attendance of teams in the American League versus teams in the NationalLeague?
c. Compute the mean and the standard deviation of the number of wins for the 10 teamswith the highest salaries. Do the same for the 10 teams with the lowest salaries. At the .05 significance level, is there a difference in the mean number of wins for the two groups?
In: Statistics and Probability
Table Top produces ping pong tables and has determined the following direct cost categories and
budgeted amounts:
Direct Materials Direct Labour Direct Marketing
Standard Inputs for 1 output 1.00
0.30 0.50
Standard Cost per input $7.50
9.00 3.00
Category
Actual performance for the company is shown below:
Actual output: (in units) Direct Materials:
Materials costs
Input purchased and used Actual price per input
Direct Manufacturing Labour: Labour costs
Labour-hours of input
Actual price per hour Direct Marketing Labour:
Labour costs Labour-hours of input Actual price per hour
Required
4,000
$30,225 3,900 $7.75
$11,470 1,240 $9.25
$5,880 2,100 $2.80
What is the combined total of the flexible-budget variances?
What is the rate variance of the direct materials?
What is the rate variance of the direct manufacturing labour and the direct marketing labour,
respectively?
What is the efficiency variance for direct materials?
What are the efficiency variances for direct manufacturing labour and direct marketing labour,
respectively?
In: Accounting
Suppose that Serena has a .7 probability of defeating Venus in a set of tennis, independently from set to set. For questions 1 – 3, suppose that they play a best-of-three-set match, meaning that the first player to win two sets wins the match.
1. Determine the probability that Serena wins the match by winning the first two sets.
2. Determine the probability that the match requires three sets to be played (meaning that each player wins one of the first two sets).
3. Determine the probability that Serena wins the best-of-three-set match.
For questions 4 – 5, suppose that they play a total of three sets, regardless of who wins the sets.
4. Determine the probability that Venus wins at least one of the three sets.
5. Determine the probability that Serena wins at least two of the three sets.
In: Statistics and Probability
Suppose Emerson wins 37% of all bingo games
(a) What is the probability that Emerson wins two bingo games in a row?
(b) What is the probability that Emerson wins three bingo games in a row?
(c) When events are independent, their complements are independent as well. Use this result to determine the probability that Emerson wins three bingo games in a row, but does not win four in a row.
(a) The probability that Emerson wins two bingo games in a row is _______
In: Math
the probability that the weather will be cold on sunday is .75
if the weather is cold there is a probability of 0.30 that barney wins
if the weather is not cold there is a probablity of 0.90 that fred will win
what is the probability the weather is cold and fred wins
what is the probability the weather is not cold and barney wins
In: Statistics and Probability
Consider observations of the number of wins per season by National Football League teams over the years 1989-2008. The observed mean is 8 wins/season and the observed standard deviation is 3.02. A histogram illustrates these data.
Referring to these NFL data and assuming normality, the probability that a randomly chosen team wins 11 or more games is?
Group of answer choices
a. 0.16
b. 0.25
c. None of these options
d. 0.09
e. 0.37
In: Statistics and Probability
the probability that the weather will be cold on sunday is .75 if the weather is cold there is a probability of 0.30 that barney wins if the weather is not cold there is a probablity of 0.90 that fred will win
what is the probability
barney wins the match
fred wins the match
In: Statistics and Probability
The probability that a certain hockey team will win any given game is 0.3628 based on their 13 year win history of 377 wins out of 1039 games played (as of a certain date). Their schedule for November contains 12 games. Let X = number of games won in November. Find the probability that the hockey team wins at least 7 games in November. (Round your answer to four decimal places.)
Please use TI-84 calculator not excel. Thanks!
In: Statistics and Probability