Statistics and Probability Answers

A soft- drink vending machine is set to dispense 6 ounces per cup. If the machine is tested nine times, yielding a mean cup fill of 6.2 ounces with a standard deviation of 0.15 ounce, is this evidence at the level of significance 0.05 that the machine is overfilling cups?

The probability is 0.70 that a rare tropical disease will be diagnosed correctly. If it is diagnosed correctly, the probability is 0.90 that the patient will be cured and if it is not diagnosed correctly the probability is 0.40 that the patient will be cured. If a patient having this disease is cured, what is the probability that it was diagnosed correctly?

In a hospital 60% of the patients are married. What’s the probability that a sample of one word with 8 patient, had 3 were married

Consider a set of 10 data points:
x: 1 2 3 4 4 5 5 6 6 7
Y: 7 8 9 8 9 11 10 13 14 13
Derive the simple linear regression model

In a hospital 60% of the patients are married. What’s the probability that a sample of one word with 8 patient, had 3 were married

Given that 51.3% of all newly born children are boys, then what is the probability that in a sample of 5 newly born children, exactly 3 are boys?

A shipment of five computers two or that are slightly defective.If a retailer receives three of these computers at random,list the elements of the sample space S using the letter P and N for defective and non-defective computers respectively.To teach sample point assign a value X of the random variable X representing the number of computers purchased by the retailer which are slightly defective.

In orange country,51%of the adults are males.one adult is rendomly
Selected for a survey involvingcredit card usage.

Having trouble with my homework. I can’t come up with the answers they get.
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?