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In: Statistics and Probability
Question 1: The element nobelium has a half-life of 58 minutes. Let X be the lifetime...
Question 1: The element nobelium has a half-life of 58 minutes. Let X be the lifetime of an individual nobelium atom. Compute the following:
a) P(X>30)
b) P(X≤60|X>30)
c) E(X) and Var(X)
d) P(X>E(X))
Solutions
orchestra answered 1 year agoRelated Solutions
Let X be the lifetime of an electronic device. It is known that the average lifetime...
Let X be the lifetime of an electronic device. It is known that
the average lifetime of the device is 767 days and the standard
deviation is 121 days. Let x¯ be the sample mean of the lifetimes
of 157 devices. The distribution of X is unknown, however, the
distribution of x¯ should be approximately normal according to the
Central Limit Theorem. Calculate the following probabilities using
the normal approximation. (a) P(x¯≤754)= Answer (b) P(x¯≥784)=
Answer 0.0392 (c) P(749≤x¯≤784)= Answer
Let X be the lifetime of an electronic device. It is known that the average lifetime...
Let X be the lifetime of an electronic device. It is known that
the average lifetime of the device is 762 days and the standard
deviation is 150 days. Let x¯ be the sample mean of the lifetimes
of 156 devices. The distribution of X is unknown, however, the
distribution of x¯should be approximately normal according to the
Central Limit Theorem. Calculate the following probabilities using
the normal approximation.
(a) P(x¯≤746)
(b) P(x¯≥782)
(c) P(738≤x¯≤781)
Fluorine-18 undergoes positron emission with a half-life of 1.10 x 102 minutes. If a patient is...
Fluorine-18 undergoes positron emission with a half-life of 1.10 x 102 minutes. If a patient is given a 248 mg dose for a PET scan, how long will it take for the amount of fluorine-18 to drop to 83 mg? (Assume that none of the fluorine is excreted from the body.)
A certain element has a half life of 2.52.5 billion years. a. You find a rock...
A certain element has a half life of
2.52.5
billion years.
a. You find a rock containing a mixture of the element and lead.
You determine that
55?%
of the original element? remains; the other
9595?%
decayed into lead. How old is the?rock?
b. Analysis of another rock shows that it contains
6060?%
of its original? element; the other
4040?%
decayed into lead. How old is the? rock?
The question is correct. Let X be an n-element set of positive integers each of whose...
The question is correct.
Let X be an n-element set of positive integers each of whose
elements is at most (2n - 2)/n. Use the pigeonhole
principle to show that X has 2 distinct nonempty subsets A ≠ B with
the property that the sum of the elements in A is equal to the sum
of the elements in B.
Escitalopram with half life 27 - 32 hours question 1 half life 27-32 hours Calculate how...
Escitalopram
with half life
27 - 32
hours
question 1
half life 27-32
hours
Calculate how long it takes to eliminate 95% of a single dose
of escitalopram from the body. Provide the range of values and the
equation used.
From the given pharmacokinetics parameter, explain which
elimination model of escitalopram is likely to follow.
questionB
what is the mechanism
of actions of escitalopram, and the affect escitalopram has on the
structure of the target site
Identify the molecular
target...
A radioactice source has a half-life of 14.0 minutes. its acticity is 5.00 microChries at 10:00...
A
radioactice source has a half-life of 14.0 minutes. its acticity is
5.00 microChries at 10:00 am. a.) what is the decay constant of the
source? b.) how many parents are present at 10:00 am? c.) what is
the activity at 10:48 am? d.) how many parents are present at 10:48
am? e.) how many disintegrations occur between 10:00 am and 10:48
am? f.) how many daughters are born durinf this time
interval?
Let x = inf E. Prove that x is an element of the boundary of E....
Let x = inf E. Prove that x is an element of the boundary of E.
Here R is regarded as a metric space with d(p,q) = |q−p| for p,q
∈R
1. If drug X has a half-life (T1/2) of 2 days (48 hours) and the concentration...
1. If drug X has a half-life (T1/2) of 2 days (48 hours) and the
concentration at 12:00 today was 10 μg/mL, what would the expected
concentration of drug X be at 12:00 tomorrow?
a. 7 μg/mL
b. 7.5 μg/mL
c. 5 μg/mL
d. 3.5 μg/mL
2. If a drug is administered orally, which of the following
would affect the efficiency of its absorption in the
gastrointestinal tract?
a. Dissociation of the drug from its administered form
b. The drug's...
The half life of an isotope is 20 minutes. After 2.00 hours, 0.10 grams of the...
The half life of an isotope is 20 minutes. After 2.00
hours, 0.10 grams of the sample remains. how many grams was in the
original sample.?
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