P(X= x)
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Q: Find the g (2) if g (x) = S VE– Idt %3D
A: gx=∫32x3 t-1 dt Now we need to find integration gx =∫32x3 t-1 dt=23 t-13232x3=232x3-132-23…
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- You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly more than 83%. With H₁: p> 83% you obtain a test statistic of z = 3.108. Find the p-value accurate to 4 decimal places. p-value =Use the following information to answer questions 4 & 5: The following table is adapted from a paramecium culture experiment. The data show the paramecium population N as a function of time t in days. 3 5 6 8 9 10 11 t 2 N 11 33 91 188 328 | 415 | 507 577Find the value of t0.025 for a t-distribution with 14 degrees of freedom. Round your answer to three decimal places, if necessary.
- A hospital director is told that 30% of the treated patients are uninsured. The director wants to test the claim that the percentage of uninsured patients is below the expected percentage. A sample of 120 patients found that 30 were uninsured. Find the value of the test statistic. Round your answer to two decimal places.c= 0.98, o=7.3, and E= 1 Assume that a preliminary sample has at least 30 me n3= (Round up to the nearest whole number.) %3DWhat happens visually when SSE goes to zero and SSE goes to SST in statistics
- I only need B,C, and DA light fixture contains five lightbulbs. The lifetime of each bulb is exponentially distributed with mean 199.0 hours. Whenever a bulb burns out, it is replaced. Let T be the time of the first bulb replacement. Let X1, i = 1, . . . , 5, be the lifetimes of the five bulbs. Assume the lifetimes of the bulbs are independent. 1. Find P( X1 > 100). (Round the final answer to four decimal places.) 2. Find P( X1 > 100 and X2 > 100 and • • • and X5 > 100). (Round the final answer to four decimal places.) 3. Find P(T ≤ 100). (Round the final answer to four decimal places.) 4. Let t be any positive number. Find P(T ≤ t), which is the cumulative distribution function of T. 5. Find the mean of T. (Round the final answer to two decimal places.)Previously, De Anza's statistics students estimated that the amount of change daytime statistics students carry is exponentially distributed with a mean of $0.88. Suppose that we randomly pick 25 daytime statistics students. Find the probability that an individual had between $0.80 and $1.00. Graph the situation, and shade in the area to be determined.
- The life X (in hours) of a battery in constant use is an arbitrary variable with exponential density. What is the probability that the battery will last more than 28 hours if the average life is 8 hours? (Give your answer to four decimal places.) P≈A study examines the link between miscarriage and the use of painkillers during pregnancy. Scientists interviewed 1009 women soon after they got positive results from pregnancy tests about their use of painkillers around the time of conception or in the early weeks of pregnancy. The researchers then recorded which of the pregnancies was successfully carried to term. The results are in the table below. (NSAIDS refer to a class of painkillers that includes aspirin and ibuprofen.) Does there appear to be an association between having a miscarriage and the use of painkillers? Miscarriage No miscarriage Total NSAIDS 18 57 75 Acetaminophen 24 148 172 No painkiller 103 659 762 Total 145 864 1009 Table 1 Does the use of painkillers increase the risk of miscarriage?A hospital director is told that 57%57% of the treated patients are insured. The director wants to test the claim that the percentage of insured patients is under the expected percentage. A sample of 250250 patients found that 125125 were insured. Find the value of the test statistic. Round your answer to two decimal places.