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Let X={a,b,c,d} with the topology T={ ϕ,{a},{a,b},{a,b,c,d}}.Find closure.
Suppose a special type of small data processing firm is so specialized that some have difficulty making a profit in their first year of operation. The p.d.f that characterizes the proportion Y that make a profit is given by: ky^4(1-y)^3 and 0 elsewhere.
A. What is the value of k that renders the above a valid density function?
B.Find the probability that at most 50% of the firms make a profit in the first year.
C. Find the probability that at least 80% of the firms make a profit in the first year.
A. What is the value of k that renders the above a valid density function?
B.Find the probability that at most 50% of the firms make a profit in the first year.
C. Find the probability that at least 80% of the firms make a profit in the first year.
The property taxes on a house were $840$840. What was the tax rate if the house was valued at $140,000$140,000? Follow the problem-solving process and round your answer to the nearest hundredth of a percent, if necessary.
7. A person is flipping a biased coin wherein probability of heads is thrice as much as the probability of tails, find the probability that the first tail occurs on the fifth flip.
8. Two cards are drawn successively without replacement from a shuffled deck of cards. Make a probability distribution table where random variable X represents the number of heart.
8. Two cards are drawn successively without replacement from a shuffled deck of cards. Make a probability distribution table where random variable X represents the number of heart.
4. From question no. 3, if X is the number of narcotic tablets selected by the officer
a. find the probability distribution of x in tabular form and equation form
b. find the probability that the number of narcotic tablets selected by the officer is less than 3
5. A couple decided they will continue to have children until they have three males. Assuming that P(female)=0.65,
a. what is the probability that their third male is their sixth child?
b. what is the probability that their third male is their tenth child?
6. A. What is the probability of getting a total of 5 or 7 exactly thrice in 8 tosses of a pair of dice?
B. What is the probability of getting a matching pair at least 3 times in 8 tosses of a pair of dice?
a. find the probability distribution of x in tabular form and equation form
b. find the probability that the number of narcotic tablets selected by the officer is less than 3
5. A couple decided they will continue to have children until they have three males. Assuming that P(female)=0.65,
a. what is the probability that their third male is their sixth child?
b. what is the probability that their third male is their tenth child?
6. A. What is the probability of getting a total of 5 or 7 exactly thrice in 8 tosses of a pair of dice?
B. What is the probability of getting a matching pair at least 3 times in 8 tosses of a pair of dice?
1. A given intersection in a small city allows for three possibilities. Drivers may continue straight, turn left, or turn right. The possibilities of these events are .50, .20, and .30, respectively. A researcher observes ten drivers at this intersection. What is the probability of seeing five drivers continue straight, two turn lefts and three turn right?
2. Past experience indicates that the ticket office at the rialto theatre receives a mean rate of 30 calls per hour. Find the probability that
a. during a ten minute coffee break, at most two will be received
b. during a twenty minute coffee break, at least two calls will be received
3. To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin pills that are similar in appearance. If the customs official selects 3 of the tablets at random for analysis, what is the probability that the traveler will be arrested for illegal possession of narcotics?
2. Past experience indicates that the ticket office at the rialto theatre receives a mean rate of 30 calls per hour. Find the probability that
a. during a ten minute coffee break, at most two will be received
b. during a twenty minute coffee break, at least two calls will be received
3. To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin pills that are similar in appearance. If the customs official selects 3 of the tablets at random for analysis, what is the probability that the traveler will be arrested for illegal possession of narcotics?
consider the sampling distribution of x for random samples of 65 customers satisfactons ratings.Determine the probability of observing a sample mean greater than or equal to 42.95 when we assume that mean equals 42.
solve: d^2/dx^2 - 2 tan x dy/dx + 5y = e^x sec x
Solve : d^2y/dx^2 -2tanx dy/dx +5y = e^x. sec x
The differential equation of a damped vibrating system under the action of an external periodic force is: d^2x/dt^2 +2 m0 dx/dt +n^2x = a cos pt Show that, if n>m0>0 the complementary function of the differential equation represents vibrations which are soon damped out. Find the particular integral in terms of periodic functions
