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From the following uniformly distributed data scene calculate the probability w.r.t statement. The weekly output of a steel mill is a uniformly distributed random variable that lies between 110 and 175 metric tons.

1. Compute the probability that the steel mill will produce more than 150 metric tons next week.

2. Determine the probability that the steel mill will produce between 120 and 160 metric tons


Calculate the probabilities for the following statements as per the given scenario. A study undertaken by the Rajan Supervisor of Elections in 2002 revealed that 44% of registered voters are ‘Dharwadi Yuth’, 37% are Rajmoti, and 19% are others. If two registered voters are selected at random, what is the probability that both of them have the same party affiliation?


Listed below are pulse rates​ (beats per​ minute) from samples of adult males and females. Find the mean and median for each of the two samples and then compare the two sets of results. Does there appear to be a​ difference?


Confer a value to be significantly low if it’s z score less than or equal to -2 or consider a value to be significantly high if it’s z score is greater than or equal to 2.

a data set lists weights(grams) of a type of a coin. Those weights have a mean of 5.74712g and a standard deviation of 0.06038g. Identify the weights that are significantly low or significantly high


In a certain Algebra 2 class of 30 students, 7 of them play basketball and 11 of them play baseball. There are 5 students who play both sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?


The body temperature of a group of healthy adults have a bell shaped distribution with a mean of 98.37 and a standard deviation of 0.53. Using the empirical rule, find each approximate percentage.


An industrial company estimates that the probability of an order arriving on time from a supplier is 0.7. Suppose 10 orders are placed this week. What is the probability that at least 8 arrives on time?


What is the probability that someone consumed less than 20 gallons of bottled​ water?


Based on a poll 60% of adults believe in reincarnation. Assume that 4 adults are randomly selected, and find the indicated probability.


 A random vector (X1, X2) is a discrete random vector if its space D or range space is finite or countable. Suppose X1, X2 are positive integer valued and we need to find P(X1= x1, X2= x2), where x1, x2 are known positive integers, in terms of their known cumulative distribution function F. 

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