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Find the last digit of the sum
0! + 2! + 4! +...+ 2010! + 2012!
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Twelve cowboys sit in a circle around a bonfire. Each observes that his age (viewed as integer) is the average of the ages of his left and right neighbors. What is the sum of their ages?
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The lifetime of a certain kind of bulb has a normal distribution with mean of 500 hours and standard deviation of 45 hours
Find the percentage of bulbs with a lifetime of at least 570 hrs
The percentage of bulbs with lifetime in between 485 and 515 hrs
The minimum lifetime of the best 5% of the bulbs
The lifetime of an electrical component normally distributed with mean 800 hrs and standard deviation of 60 hrs.
What is the probability that the component will fail before 680hrs
If standard deviation remain 60 hrs what would have been the mean to ensure that not more than 10% of the components fail before 800hrs.
A company study of product preferences of 10,000 consumers is as follows: products A. B and C were liked by 5015, 3464 and 4827 consumers, respectively. All the three products were liked by 500 consumers. Products A and B were liked by 1000 consumers. Products A and C were liked by 850 consumers. Products B and C were liked by 1420 consumers.
1) Prove that the study results are incorrect.
2)It was found that an error occurred in recording the number of consumers liking the products A and C. What is the value of this number?
Find the number of ways in which the word "BREAD' can be arranged when
i) B and D take end places
ii) E is placed in middle
iii) vowels E and A always come together
iv) vowels E and A never come together
Solve the following game
Player A
player B
Row (4)*Column(5)
R1-10,81,32,43,93
R2-59,63,39,69,73
R3-71,20,05,27,84
R4-34,14,44,44,69
a populatpion of 1,000 students has an average weekly allowance of =350 and standard deviation of =56.13 .what is the probability that a random sample of size =30 will have an average weekly allowance between 335 and 360?
Find the t_a/2 value for a 95% confidence interval when the sample size is 22.
1. Let X be a random variable that denotes the number of passengers in a train station for a given hour. What are the possible values of X?
#333702 on Dec 2022