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Q= Among 44-49 year olds 39% say they have danced in public while under the influence of alcohol. Suppose five 44-49 year olds are selected at random. (A) what is the probability that at least one has not danced in public under the influence of alcohol? (B) what is the probability that at least one has danced in public while under the influence of alcohol.
Hereford cattle are one of the most popular breeds of beef cattle. Based on data from the Hereford Cattle Society, the mean weight of a one-year-old Hereford bull is 1245 pounds, with a standard deviation of 97 pounds. Would it be unusual for the mean weight of 120 head of cattle to be less than 1130 pounds?
a company has made available to his employees (without charges) extensive club facilities that may be used before work, during the lunch hour, after work and on weekend. the record for the last year indicates that of 250 employees, 110 used the facilities at sometimes. of 170males employed by a company ,65 used the facilities, what is the probability that an employer chooses at random (setup contingency table)
a) is a female or has used the health club facilities
b) is a male and has not used the health club facilities c) suppose that we select the female employees of the company.what then the probability that she has used the health club facilities.
Q.Let D be a metric on X determined all constant k s.t
(i) kd is a metric
(ii)(k+d) is a metric
Q.Find all metric on a set X consisting of one point and consisting of two points.
Q. Prove that |d(x,z)-d(y,z)|≤d(x,y)
Q. Prove that |d(x,z)-d(y,z)|≤d(x,y)
Q. Show that another metric D on a set S defined by
d(x,y) = ∫_a^b▒〖| x(t)-y(t) |dt 〗
Q. If A is a subspace of l^∞ consisting of all sequence of 0 and 1. What is the induced metric on A?
Q.Show that d(x,y)=Sup|∑_j-n_j |, j∈N satisfy triangular property.
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