A candy maker produces mints whose weight follows a normal
distribution with mean
21:37g and standard deviation 0:4g. Suppose 15 mints are selected
at random. Let Y be
the number of mints among them that weigh less than 20:857g. Then,
P(Y 2) = 0:816.
True False
A candy maker produces mints whose weight follows a normal distribution with mean 21:37g and standard...
The weight, in kg, of fish in a lake follows a normal distribution with mean 2 and standard deviation 0.5 a) What is the probability that a randomly selected fish weights less than lkg? b) Find the value, w, of the weight of a fish such that 95% of the fish weigh ess than w.
Suppose that a candy company makes a candy bar whose weight is supposed to be 50 grams, but in fact, the weight varies from bar to bar according to a normal distribution with mean μ = 50 grams and standard deviation σ = 2 grams. If the company sells the candy bars in packs of 4 bars, what can we say about the likelihood that the average weight of the bars in a randomly selected pack is 4 or more grams lighter than advertised?
9. (Normal distribution.) Birth weight of babies delivered at term can be mode a normal distribution with mean p = 200 ounces, and standard deviation o = 20 our Using this model, find: a. The percent of bables delivered at term that weigh between 200 ounces and 216 Ounces b. The percent of bables delivered at term that weigh more than 216 ounces. 10. (Coin Tossing. You shake up 100 pennies in a jar and empty them on a table....
A random variable follows the normal probability distribution with a mean of 80 and a standard deviation of 20. Determine the probability for a randomly selected value from this population in parts a through d below. a. is less than 90 b. is less than 65 c. is more than 110 d. is more than 40.
A factory produces pistons whose diameters follow a normal distribution with a mean of 50 mm and a standard deviation of 0.01 mm. For a piston to serve, its diameter must be between 49.98 and 50.02 mm. If the diameter is less than 49.98 mm it is rejected; if it is greater than 50.02 mm, it is reprocessed once and the new diameter follows a normal distribution of an average of 49.99 mm, a standard deviation of 0.01 mm. I....
A factory produces pistons whose diameters follow a normal distribution with a mean of 50 mm and a standard deviation of 0.01 mm. For a piston to serve, its diameter must be between 49.98 and 50.02 mm. If the diameter is less than 49.98 mm it is rejected; if it is greater than 50.02 mm, it is reprocessed once and the new diameter follows a normal distribution of an average of 49.99 mm, a standard deviation of 0.01 mm. I....
The weights of packages shipped via a national delivery company follows a normal distribution with mean 24.6 pounds and standard deviation 4 pounds. a.) What is the probability that a randomly selected package will weigh more than 25 pounds? b.) A local delivery truck has a capacity of 7,250 pounds. If 290 packages are loaded onto the truck, what is the probability that the weight capacity will be exceeded?
2) Suppose the weight of a newborn baby follows a normal distribution with a mean of 3500 grams and a standard deviation of 600 grams. a. What is the probability that the weight of a randomly selected newborn exceeds 4000g? b. For a random sample of 36 newborns, what is the probability that their mean weight is less than 3450g? 3) Suppose that 5% of American adults are vegetarian. Find the probability that in a random sample of 500 American...
A random variable follows the normal probability distribution with a mean of 100 and a standard deviation of 10. Determine the probability for a randomly selected value from this population in parts a through d below. Click here to view page 1 of the standard normal probability table. Click here to view page 2 of the standard normal probability table. a. What is the probability that the value is less than 80? The probability that the value is less than...
A random variable follows the normal probability distribution with a mean of 100 and a standard deviation of 10. Determine the probability for a randomly selected value from this population in parts a through d below. Click here to view.pa a. What is the probability that the value is less than 80? The probability that the value is less than 80 is (Round to four decimal places as needed.) b. What is the probability that the value is less than...