Animal 12. FIGURE 4.21 An eight-armed maze. bo. boAhiano (a) P[X< 3]. = 5 t (b) P[34]. (d) P[X = 4]. 53. Although errors are likely when taking measurements from photographic im- ages, these errors are often very small. For sharp images with negligible dis- tortion, errors in measuring distances are often no larger than .0004 inch. Assume that the probability of a serious measurement error is .05. A series of ` 150 independent measurements are made. Let X denote the number of serious 220Briva errors made. (a) In finding the probability of making at least one serious error, is the nor- mal approximation appropriate? If so, approximate the probability using this method. (b) Approximate the probability that at most three serious errors will be, made. 54. A chemical reaction is run in which the usual yield is 70%. A new process has been devised that should improve the yield. Proponents of the new process claim that it produces better yields than the old process more than 90% of the time. The new process is tested 60 times. Let X denote the number of trials in which the yield exceeds 70%. (a) If the probability of an increased yield is .9, is the normal approximation appropriate? (b) If p = .9, what is E[X]? (e) If n>.9 as claimed, then, on the average, more than 54 of every 60 trials will result in an increased yield. Let us agree to accept the claim if X is at %3D
Animal 12. FIGURE 4.21 An eight-armed maze. bo. boAhiano (a) P[X< 3]. = 5 t (b) P[34]. (d) P[X = 4]. 53. Although errors are likely when taking measurements from photographic im- ages, these errors are often very small. For sharp images with negligible dis- tortion, errors in measuring distances are often no larger than .0004 inch. Assume that the probability of a serious measurement error is .05. A series of ` 150 independent measurements are made. Let X denote the number of serious 220Briva errors made. (a) In finding the probability of making at least one serious error, is the nor- mal approximation appropriate? If so, approximate the probability using this method. (b) Approximate the probability that at most three serious errors will be, made. 54. A chemical reaction is run in which the usual yield is 70%. A new process has been devised that should improve the yield. Proponents of the new process claim that it produces better yields than the old process more than 90% of the time. The new process is tested 60 times. Let X denote the number of trials in which the yield exceeds 70%. (a) If the probability of an increased yield is .9, is the normal approximation appropriate? (b) If p = .9, what is E[X]? (e) If n>.9 as claimed, then, on the average, more than 54 of every 60 trials will result in an increased yield. Let us agree to accept the claim if X is at %3D
Transcribed Image Text:Animal
12.
FIGURE 4.21
An eight-armed maze.
bo.
boAhiano
(a) P[X< 3]. = 5 t
(b) P[3<X<6].
(c) P[X>4].
(d) P[X = 4].
53. Although errors are likely when taking measurements from photographic im-
ages, these errors are often very small. For sharp images with negligible dis-
tortion, errors in measuring distances are often no larger than .0004 inch.
Assume that the probability of a serious measurement error is .05. A series of `
150 independent measurements are made. Let X denote the number of serious
220Briva
errors made.
(a) In finding the probability of making at least one serious error, is the nor-
mal approximation appropriate? If so, approximate the probability using
this method.
(b) Approximate the probability that at most three serious errors will be,
made.
54. A chemical reaction is run in which the usual yield is 70%. A new process has
been devised that should improve the yield. Proponents of the new process
claim that it produces better yields than the old process more than 90% of the
time. The new process is tested 60 times. Let X denote the number of trials in
which the yield exceeds 70%.
(a) If the probability of an increased yield is .9, is the normal approximation
appropriate?
(b) If p = .9, what is E[X]?
(e) If n>.9 as claimed, then, on the average, more than 54 of every 60 trials
will result in an increased yield. Let us agree to accept the claim if X is at
%3D
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![Animal
12.
FIGURE 4.21
An eight-armed maze.
bo.
boAhiano
(a) P[X< 3]. = 5 t
(b) P[3<X<6].
(c) P[X>4].
(d) P[X = 4].
53. Although errors are likely when taking measurements from photographic im-
ages, these errors are often very small. For sharp images with negligible dis-
tortion, errors in measuring distances are often no larger than .0004 inch.
Assume that the probability of a serious measurement error is .05. A series of `
150 independent measurements are made. Let X denote the number of serious
220Briva
errors made.
(a) In finding the probability of making at least one serious error, is the nor-
mal approximation appropriate? If so, approximate the probability using
this method.
(b) Approximate the probability that at most three serious errors will be,
made.
54. A chemical reaction is run in which the usual yield is 70%. A new process has
been devised that should improve the yield. Proponents of the new process
claim that it produces better yields than the old process more than 90% of the
time. The new process is tested 60 times. Let X denote the number of trials in
which the yield exceeds 70%.
(a) If the probability of an increased yield is .9, is the normal approximation
appropriate?
(b) If p = .9, what is E[X]?
(e) If n>.9 as claimed, then, on the average, more than 54 of every 60 trials
will result in an increased yield. Let us agree to accept the claim if X is at
%3D](https://content.bartleby.com/qna-images/question/c074fc7e-4e48-46f1-bfc4-aee6ba4e6262/45eb8bc7-463f-4719-9b2a-94175b619739/faqx32l.jpeg)
