def solve():
print("Entrez les bornes de l'intervalle [a; b] :")
a = float_input("a = ")
b = float_input("b = ")
print("Entrez les bornes de l'intervalle u ≤ X ≤ v :")
u = float_input("u = ")
v = float_input("v = ")
result = Fraction(abs(v - u) * (1 / (b - a))).limit_denominator()
print(f"\nLa probabilité P est de {result}")
def solve():
print("X suit la loi normale N(u, o) :")
u = float_input("u = ")
o = float_input("o = ")
norm = normale.normale(u, o)
print("La question est P(a ≤ X ≤ b)")
a = float_input("a = ")
b = float_input("b = ")
p = round(norm.p_X_btw(a, b), 4)
print(f"\nP({a} ≤ X ≤ {b}) = {p}")
def solve():
p = fraction_input("Entrez le paramètre de la loi exponentielle : ")
print("Entrez les bornes de l'intervalle P(u ≤ X ≤ v) :")
u = float_input("u = ")
v = float_input("v = ")
exponent_u = Fraction(-p * u).limit_denominator()
exponent_v = Fraction(-p * v).limit_denominator()
result = f"e^({exponent_u}) - e^({exponent_v})"
print(f"\nLa probabilité P est de {result}")
def solve():
print("X suit la loi normale N(u, o) :")
v = float_input("u = ")
o = float_input("o = ")
norm = normale.normale(v, o)
print(f"La question est P({v}-u < X < {v}+u) = a")
a = float_input("a = ")
u = 0.5005
#recherche bourrin à 10^-3 pres, la dichotomie c'est nul anyway
while norm.p_X_btw(v - u, v + u) < a:
u += 0.001 #pousser la limite quand la proba est trop petite
while norm.p_X_btw(v - u, v + u) > a:
u -= 0.001 #idem quand trop grande
u = round(u, 2)
print(f"\nLa valeur de u est {u}")
def solve():
print("Entrez les bornes de l'intervalle [a; b] :")
a = float_input("a = ")
b = float_input("b = ")
print("La question est :")
print("\t1. P(X ≤ y)")
print("\t2. P(X ≥ y)")
choix = 0
while not choix in [1, 2]:
choix = int_input("1 ou 2 ? ")
y = float_input("y = ")
if choix == 1:
result = Fraction(abs(y - a) * (1 / (b - a))).limit_denominator()
else:
result = Fraction(abs(b - y) * (1 / (b - a))).limit_denominator()
print(f"\nLa probabilité P est de {result}")
def solve():
print("X suit la loi normale N(u, o) :")
u = float_input("u = ")
o = float_input("o = ")
norm = normale.normale(u, o)
print("La question est :")
print("\t1. P(X ≤ a)")
print("\t2. P(X ≥ a)")
choix = 0
while not choix in [1, 2]:
choix = int_input("1 ou 2 ? ")
a = float_input("a = ")
if choix == 1:
p = round(norm.p_X_inf(a), 4)
print(f"\nP(X ≤ {a}) = {p}")
else:
p = round(norm.p_X_sup(a), 4)
print(f"\nP(X ≥ {a}) = {p}")
def solve():
print("La question est p(x ≤ t)")
t = int_input("t = ")
print(f"La probabilité p(x ≤ {t}) est égale à 1-e^(-{t}a)")
print(
"\nEntrez la valeur maximale que peut prendre la probabilité p, dans le dernier paragraphe (c'est un nombre décimal)"
)
m = float_input("m = ")
print(
f"L'intervalle est ]0; ln({Fraction(- m + 1).limit_denominator()})/(-{t})]"
)