Exam 4: Discrete Probability Distributions

Use the following probability distribution for the next questions. Dental researchers found the following probability values for the dental habits of x, the age children begin brushing their teeth or gums. -Referring to the probability distribution for dental habits of children, find the probability of a two-year-old beginning to brush their teeth or gums.

Select the procedure that does NOT result in a Poisson distribution.

Select the procedure that does NOT result in a binomial distribution.

Use the following probability distribution for the next questions. Dental researchers found the following probability values for the dental habits of x, the age children begin brushing their teeth or gums. -Using probability values, determine if it is unusual for a child less than one year old to brush their teeth or gums.

Use the following binomial distribution for the next questions. A scientist knows that piñon jays that breed in captivity and are released have the ability to find 70% of caches, or hidden sources of food, in the wild. Assume the scientist releases 15 piñon jays. -Find the mean from the binomial distribution for the cache finding ability of these piñon jays.

Use the following Poisson distribution for the next questions. An allergist determined the average number of fire ants per square centimeter of a mound is six -Find the probability that at most four fire ants are in a square centimeter of a mound.

Use the following Poisson distribution for the next questions. For a science laboratory experiment, the average number of radioactive particles passing through a counter in a millisecond is four. -Find the probability that at most three particles pass through the counter in a given millisecond.

Use the following distribution for the next questions. A statistics student surveyed the probabilities for x, the number of classmates who were not paying attention to the lecture. -Identify the random variable as either discrete or continuous.

Use the following distribution for the next questions. A statistics student surveyed the probabilities for x, the number of classmates who were not paying attention to the lecture. -Determine whether a probability distribution is given in the statistics class distribution. If not, identify the requirements that are not satisfied.

Use the following binomial distribution for the next questions. A doctor knows from experience that 10% of the patients to whom she gives a certain medication will experience undesirable side effects. Assume the doctor gives medication to the next 12 patients. -Referring to the binomial distribution for the medication, find the probability that exactly five of these patients will experience undesirable side effects.

Use the following distribution for the next questions. A statistics student surveyed the probabilities for x, the number of classmates who were not paying attention to the lecture. -Identify the random variable for the statistics class distribution.

Use the following binomial distribution for the next questions. A scientist knows that piñon jays that breed in captivity and are released have the ability to find 70% of caches, or hidden sources of food, in the wild. Assume the scientist releases 15 piñon jays. -Find the standard deviation from the binomial distribution for the cache-finding ability of these piñon jays.

Use the following probability distribution for the next questions. Biologists researching a certain type of hawk, Accipiter spp., found the following probability values for x, the number of offspring. -Find the mean of the proba bility distribution for offspring of Accipiter spp.

Use the following Poisson distribution for the next questions. An allergist determined the average number of fire ants per square centimeter of a mound is six -Find the probability that no fire ants are in a square centimeter of a mound.

Use the following binomial distribution for the next questions. A doctor knows from experience that 10% of the patients to whom she gives a certain medication will experience undesirable side effects. Assume the doctor gives medication to the next 12 patients. -Find the mean from the binomial distribution for the medication.

Use the following probability distribution for the next questions. Dental researchers found the following probability values for the dental habits of x, the age children begin brushing their teeth or gums. -Find the Expected Value of the probability distribution for the age children begin brushing their teeth or gums.

Use the following probability distribution for the next questions. Dental researchers found the following probability values for the dental habits of x, the age children begin brushing their teeth or gums. -Find the mean of the probability distribution for the age children begin brushing their teeth or gums.

Use the following probability distribution for the next questions. Biologists researching a certain type of hawk, Accipiter spp., found the following probability values for x, the number of offspring. -Find the standard deviation of the probability distribution for offspring of Accipiter spp.

Use the following distribution for the next questions. A graduate student in exercise science surveyed undergraduate students' weekly exercise habits. The following distribution gives the probability values for x, the number of days an undergraduate student exercised per week. -Identify the random variable for the exercise science distribution.

Use the following binomial distribution for the next questions. A scientist knows that piñon jays that breed in captivity and are released have the ability to find 70% of caches, or hidden sources of food, in the wild. Assume the scientist releases 15 piñon jays. -Referring to the binomial distribution for the piñon jays, find the probability that at least 13 of these birds will be able to find caches.